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7628000000 = 28561907
BaseRepresentation
bin1110001101010101…
…00000101100000000
3201200121102112211112
413012222200230000
5111110232000000
63300530302452
7360012634025
oct70652405400
921617375745
107628000000
113264897335
12158a727a28
1394745638a
1452511154c
152e9a18235
hex1c6aa0b00

7628000000 has 126 divisors (see below), whose sum is σ = 19042490628. Its totient is φ = 3049600000.

The previous prime is 7627999997. The next prime is 7628000057. The reversal of 7628000000 is 8267.

It is a self number, because there is not a number n which added to its sum of digits gives 7628000000.

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, 3999047 + ... + 4000953.

It is an arithmetic number, because the mean of its divisors is an integer number (151130878).

Almost surely, 27628000000 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 7628000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521245314).

7628000000 is an abundant number, since it is smaller than the sum of its proper divisors (11414490628).

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

7628000000 is an frugal number, since it uses more digits than its factorization.

7628000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 7628000000 is about 87338.4222435922. The cubic root of 7628000000 is about 1968.5066886681.

Adding to 7628000000 its reverse (8267), we get a palindrome (7628008267).

The spelling of 7628000000 in words is "seven billion, six 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 1907 2000 2500 3125 3200 3814 4000 5000 6250 6400 7628 8000 9535 10000 12500 15256 15625 16000 19070 20000 25000 30512 31250 32000 38140 40000 47675 50000 61024 62500 76280 80000 95350 100000 122048 125000 152560 160000 190700 200000 238375 244096 250000 305120 381400 400000 476750 488192 500000 610240 762800 800000 953500 1000000 1191875 1220480 1525600 1907000 2000000 2383750 2440960 3051200 3814000 4000000 4767500 5959375 6102400 7628000 9535000 11918750 12204800 15256000 19070000 23837500 29796875 30512000 38140000 47675000 59593750 61024000 76280000 95350000 119187500 152560000 190700000 238375000 305120000 381400000 476750000 762800000 953500000 1525600000 1907000000 3814000000 7628000000