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9428000000 = 28562357
BaseRepresentation
bin10001100011111001…
…11101110100000000
3220100001110000122012
420301330331310000
5123302032000000
64155310432052
7452430451316
oct106174756400
926301400565
109428000000
113aa8950a41
1219b1502628
13b73346433
146561c80b6
153a2a71735
hex231f3dd00

9428000000 has 126 divisors (see below), whose sum is σ = 23533644078. Its totient is φ = 3769600000.

The previous prime is 9427999991. The next prime is 9428000039. The reversal of 9428000000 is 8249.

It can be written as a sum of positive squares in 7 ways, for example, as 9035643136 + 392356864 = 95056^2 + 19808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9428000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3998822 + ... + 4001178.

It is an arithmetic number, because the mean of its divisors is an integer number (186774953).

Almost surely, 29428000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9428000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766822039).

9428000000 is an abundant number, since it is smaller than the sum of its proper divisors (14105644078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9428000000 is an frugal number, since it uses more digits than its factorization.

9428000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 9428000000 is about 97097.8887515068. Note that the first 3 decimals coincide. The cubic root of 9428000000 is about 2112.5477038351.

Adding to 9428000000 its reverse (8249), we get a palindrome (9428008249).

The spelling of 9428000000 in words is "nine billion, four hundred twenty-eight million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2357 2500 3125 3200 4000 4714 5000 6250 6400 8000 9428 10000 11785 12500 15625 16000 18856 20000 23570 25000 31250 32000 37712 40000 47140 50000 58925 62500 75424 80000 94280 100000 117850 125000 150848 160000 188560 200000 235700 250000 294625 301696 377120 400000 471400 500000 589250 603392 754240 800000 942800 1000000 1178500 1473125 1508480 1885600 2000000 2357000 2946250 3016960 3771200 4000000 4714000 5892500 7365625 7542400 9428000 11785000 14731250 15084800 18856000 23570000 29462500 36828125 37712000 47140000 58925000 73656250 75424000 94280000 117850000 147312500 188560000 235700000 294625000 377120000 471400000 589250000 942800000 1178500000 1885600000 2357000000 4714000000 9428000000