428021024256 has 960 divisors, whose sum is σ = 1549206648000. Its totient is φ = 117635825664.

The previous prime is 428021024191. The next prime is 428021024279. The reversal of 428021024256 is 652420120824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428021024256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1591156090 + ... + 1591156358.

It is an arithmetic number, because the mean of its divisors is an integer number (1613756925).

Almost surely, 2^428021024256 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 428021024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774603324000).

428021024256 is an abundant number, since it is smaller than the sum of its proper divisors (1121185623744).

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

428021024256 is an frugal number, since it uses more digits than its factorization.

428021024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 428021024256 in words is "four hundred twenty-eight billion, twenty-one million, twenty-four thousand, two hundred fifty-six".