428186675314320 has 80 divisors (see below), whose sum is σ = 1429484746828992. Its totient is φ = 105399796999680.

The previous prime is 428186675314319. The next prime is 428186675314373. The reversal of 428186675314320 is 23413576681824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68619656386 + ... + 68619662625.

Almost surely, 2^{428186675314320} is an apocalyptic number.

428186675314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428186675314320 is an abundant number, since it is smaller than the sum of its proper divisors (1001298071514672).

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

428186675314320 is a wasteful number, since it uses less digits than its factorization.

428186675314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137239319040 (or 137239319034 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 428186675314320 in words is "four hundred twenty-eight trillion, one hundred eighty-six billion, six hundred seventy-five million, three hundred fourteen thousand, three hundred twenty".