79228583801928 has 256 divisors, whose sum is σ = 245815673241600. Its totient is φ = 23436418279680.

The previous prime is 79228583801909. The next prime is 79228583801933. The reversal of 79228583801928 is 82910838582297.

79228583801928 is a `hidden beast` number, since 7 + 9 + 2 + 2 + 8 + 58 + 380 + 192 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 172741401 + ... + 173199447.

It is an arithmetic number, because the mean of its divisors is an integer number (960217473600).

Almost surely, 2^{79228583801928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79228583801928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122907836620800).

79228583801928 is an abundant number, since it is smaller than the sum of its proper divisors (166587089439672).

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

79228583801928 is a wasteful number, since it uses less digits than its factorization.

79228583801928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459809 (or 459799 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 79228583801928 in words is "seventy-nine trillion, two hundred twenty-eight billion, five hundred eighty-three million, eight hundred one thousand, nine hundred twenty-eight".