28628920632096 has 72 divisors (see below), whose sum is σ = 81416026298880. Its totient is φ = 9542676606336.

The previous prime is 28628920632077. The next prime is 28628920632097. The reversal of 28628920632096 is 69023602982682.

28628920632096 is a `hidden beast` number, since 2 + 8 + 6 + 289 + 20 + 6 + 320 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (28628920632097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7823641 + ... + 10884263.

It is an arithmetic number, because the mean of its divisors is an integer number (1130778143040).

Almost surely, 2^{28628920632096} is an apocalyptic number.

It is an amenable number.

28628920632096 is an abundant number, since it is smaller than the sum of its proper divisors (52787105666784).

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

28628920632096 is a wasteful number, since it uses less digits than its factorization.

28628920632096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093118 (or 3093107 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 28628920632096 in words is "twenty-eight trillion, six hundred twenty-eight billion, nine hundred twenty million, six hundred thirty-two thousand, ninety-six".