428202624 has 64 divisors (see below), whose sum is σ = 1139568480. Its totient is φ = 142464000.

The previous prime is 428202623. The next prime is 428202631. The reversal of 428202624 is 426202824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 428202591 and 428202600.

It is not an unprimeable number, because it can be changed into a prime (428202623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403054 + ... + 404114.

Almost surely, 2^428202624 is an apocalyptic number.

It is an amenable number.

428202624 is an abundant number, since it is smaller than the sum of its proper divisors (711365856).

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

428202624 is a wasteful number, since it uses less digits than its factorization.

428202624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 428202624 is about 20693.0573864763. The cubic root of 428202624 is about 753.7311107478.

The spelling of 428202624 in words is "four hundred twenty-eight million, two hundred two thousand, six hundred twenty-four".