79242928128 has 896 divisors, whose sum is σ = 300629360640. Its totient is φ = 20065812480.

The previous prime is 79242928117. The next prime is 79242928139. The reversal of 79242928128 is 82182924297.

79242928128 is a `hidden beast` number, since 7 + 92 + 429 + 2 + 8 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (79242928117) and next prime (79242928139).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623960001 + ... + 623960127.

It is an arithmetic number, because the mean of its divisors is an integer number (335523840).

Almost surely, 2^79242928128 is an apocalyptic number.

79242928128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79242928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150314680320).

79242928128 is an abundant number, since it is smaller than the sum of its proper divisors (221386432512).

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

79242928128 is a wasteful number, since it uses less digits than its factorization.

79242928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 79242928128 in words is "seventy-nine billion, two hundred forty-two million, nine hundred twenty-eight thousand, one hundred twenty-eight".