28679778615600 has 1440 divisors, whose sum is σ = 125650550112000. Its totient is φ = 6177762017280.

The previous prime is 28679778615599. The next prime is 28679778615667. The reversal of 28679778615600 is 651687797682.

28679778615600 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 9 + 7 + 7 + 8 + 6 + 1 + 5 + 600 = 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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1940569011 + ... + 1940583789.

Almost surely, 2^{28679778615600} is an apocalyptic number.

28679778615600 is a gapful number since it is divisible by the number (20) 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 28679778615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62825275056000).

28679778615600 is an abundant number, since it is smaller than the sum of its proper divisors (96970771496400).

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

28679778615600 is a wasteful number, since it uses less digits than its factorization.

28679778615600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15032 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 28679778615600 in words is "twenty-eight trillion, six hundred seventy-nine billion, seven hundred seventy-eight million, six hundred fifteen thousand, six hundred".