28164781408337 has 12 divisors (see below), whose sum is σ = 32834182752756. Its totient is φ = 24088874070240.

The previous prime is 28164781408307. The next prime is 28164781408349. The reversal of 28164781408337 is 73380418746182.

It can be written as a sum of positive squares in 2 ways, for example, as 8363669784001 + 19801111624336 = 2892001^2 + 4449844^2 .

It is not a de Polignac number, because 28164781408337 - 2³⁸ = 27889903501393 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28164781408337.

It is not an unprimeable number, because it can be changed into a prime (28164781408307) 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, 623395478 + ... + 623440655.

It is an arithmetic number, because the mean of its divisors is an integer number (2736181896063).

Almost surely, 2^{28164781408337} is an apocalyptic number.

It is an amenable number.

28164781408337 is a deficient number, since it is larger than the sum of its proper divisors (4669401344419).

28164781408337 is a wasteful number, since it uses less digits than its factorization.

28164781408337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246836608 (or 1246836601 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 62.

The spelling of 28164781408337 in words is "twenty-eight trillion, one hundred sixty-four billion, seven hundred eighty-one million, four hundred eight thousand, three hundred thirty-seven".