79286928000 has 1024 divisors, whose sum is σ = 317730816000. Its totient is φ = 17108582400.

The previous prime is 79286927987. The next prime is 79286928001. The reversal of 79286928000 is 82968297.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (79286928001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769775949 + ... + 769776051.

It is an arithmetic number, because the mean of its divisors is an integer number (310284000).

Almost surely, 2^79286928000 is an apocalyptic number.

79286928000 is a gapful number since it is divisible by the number (70) 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 79286928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158865408000).

79286928000 is an abundant number, since it is smaller than the sum of its proper divisors (238443888000).

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

79286928000 is a wasteful number, since it uses less digits than its factorization.

79286928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 79286928000 in words is "seventy-nine billion, two hundred eighty-six million, nine hundred twenty-eight thousand".