425728512 has 240 divisors, whose sum is σ = 1382670432. Its totient is φ = 124968960.

The previous prime is 425728507. The next prime is 425728529. The reversal of 425728512 is 215827524.

It is a happy number.

425728512 is a `hidden beast` number, since 4 + 2 + 572 + 85 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (44800) is a multiple of the sum of its prime divisors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1875343 + ... + 1875569.

Almost surely, 2^425728512 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 425728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691335216).

425728512 is an abundant number, since it is smaller than the sum of its proper divisors (956941920).

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

425728512 is a wasteful number, since it uses less digits than its factorization.

425728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 425728512 is about 20633.1895740819. The cubic root of 425728512 is about 752.2766448583.

The spelling of 425728512 in words is "four hundred twenty-five million, seven hundred twenty-eight thousand, five hundred twelve".