428478065152600 has 96 divisors (see below), whose sum is σ = 1054842815426400. Its totient is φ = 161304703948800.

The previous prime is 428478065152561. The next prime is 428478065152667. The reversal of 428478065152600 is 6251560874824.

It is a super-2 number, since 2×428478065152600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116367790 + ... + 119993410.

It is an arithmetic number, because the mean of its divisors is an integer number (10987945994025).

Almost surely, 2^{428478065152600} is an apocalyptic number.

428478065152600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428478065152600 is an abundant number, since it is smaller than the sum of its proper divisors (626364750273800).

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

428478065152600 is a wasteful number, since it uses less digits than its factorization.

428478065152600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660413 (or 3660404 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 428478065152600 in words is "four hundred twenty-eight trillion, four hundred seventy-eight billion, sixty-five million, one hundred fifty-two thousand, six hundred".