428402810304 has 1176 divisors, whose sum is σ = 1601941127328. Its totient is φ = 112870195200.

The previous prime is 428402810281. The next prime is 428402810309. The reversal of 428402810304 is 403018204824.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428402810309) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2837104629 + ... + 2837104779.

Almost surely, 2^428402810304 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 428402810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800970563664).

428402810304 is an abundant number, since it is smaller than the sum of its proper divisors (1173538317024).

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

428402810304 is a wasteful number, since it uses less digits than its factorization.

428402810304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 428402810304 in words is "four hundred twenty-eight billion, four hundred two million, eight hundred ten thousand, three hundred four".