28090678404096 has 1485 divisors, whose sum is σ = 107707618547067. Its totient is φ = 7265751736320.

The previous prime is 28090678404043. The next prime is 28090678404097. The reversal of 28090678404096 is 69040487609082.

The square root of 28090678404096 is 5300064.

It is a perfect power (a square), and thus also a powerful number.

28090678404096 is a `hidden beast` number, since 2 + 8 + 0 + 90 + 67 + 84 + 0 + 409 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28090678404097) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 117534219145 + ... + 117534219383.

Almost surely, 2^{28090678404096} is an apocalyptic number.

28090678404096 is the 5300064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090678404096

28090678404096 is an abundant number, since it is smaller than the sum of its proper divisors (79616940142971).

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

28090678404096 is an equidigital number, since it uses as much as digits as its factorization.

28090678404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 28090678404096 in words is "twenty-eight trillion, ninety billion, six hundred seventy-eight million, four hundred four thousand, ninety-six".