428214094139232 has 96 divisors (see below), whose sum is σ = 1251411523941600. Its totient is φ = 142457602881024.

The previous prime is 428214094139201. The next prime is 428214094139233. The reversal of 428214094139232 is 232931490412824.

It is a happy number.

428214094139232 is a `hidden beast` number, since 4 + 2 + 8 + 214 + 0 + 9 + 4 + 1 + 392 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428214094139233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486415003 + ... + 487294554.

It is an arithmetic number, because the mean of its divisors is an integer number (13035536707725).

Almost surely, 2^{428214094139232} is an apocalyptic number.

It is an amenable number.

428214094139232 is an abundant number, since it is smaller than the sum of its proper divisors (823197429802368).

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

428214094139232 is a wasteful number, since it uses less digits than its factorization.

428214094139232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973710085 (or 973710071 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 428214094139232 in words is "four hundred twenty-eight trillion, two hundred fourteen billion, ninety-four million, one hundred thirty-nine thousand, two hundred thirty-two".