6428572400 has 60 divisors (see below), whose sum is σ = 15862104552. Its totient is φ = 2501925120.

The previous prime is 6428572399. The next prime is 6428572441. The reversal of 6428572400 is 42758246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202382 + ... + 231981.

Almost surely, 2^6428572400 is an apocalyptic number.

It is an amenable number.

6428572400 is an abundant number, since it is smaller than the sum of its proper divisors (9433532152).

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

6428572400 is a wasteful number, since it uses less digits than its factorization.

6428572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434418 (or 434407 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 6428572400 is about 80178.3786316486. The cubic root of 6428572400 is about 1859.3943763817.

The spelling of 6428572400 in words is "six billion, four hundred twenty-eight million, five hundred seventy-two thousand, four hundred".