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428139000 = 233353101157
BaseRepresentation
bin11001100001001…
…110000111111000
31002211121201022000
4121201032013320
51334100422000
6110252301000
713416056442
oct3141160770
91084551260
10428139000
111aa745193
12bb471760
136a9144b3
1440c0b492
15278c1000
hex1984e1f8

428139000 has 256 divisors, whose sum is σ = 1508457600. Its totient is φ = 112320000.

The previous prime is 428138981. The next prime is 428139071. The reversal of 428139000 is 931824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2726922 + ... + 2727078.

Almost surely, 2428139000 is an apocalyptic number.

428139000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754228800).

428139000 is an abundant number, since it is smaller than the sum of its proper divisors (1080318600).

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

428139000 is a wasteful number, since it uses less digits than its factorization.

428139000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 428139000 is about 20691.5200021651. The cubic root of 428139000 is about 753.6937781387.

The spelling of 428139000 in words is "four hundred twenty-eight million, one hundred thirty-nine thousand".