28242400952164 has 27 divisors (see below), whose sum is σ = 57493610540793. Its totient is φ = 12103854236208.

The previous prime is 28242400952107. The next prime is 28242400952177. The reversal of 28242400952164 is 46125900424282.

The square root of 28242400952164 is 5314358.

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

It can be written as a sum of positive squares in only one way, i.e., 27473636740900 + 768764211264 = 5241530^2 + 876792^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74211214 + ... + 74590810.

Almost surely, 2^{28242400952164} is an apocalyptic number.

28242400952164 is the 5314358-th square number.

It is an amenable number.

28242400952164 is an abundant number, since it is smaller than the sum of its proper divisors (29251209588629).

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

28242400952164 is an frugal number, since it uses more digits than its factorization.

28242400952164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759212 (or 379606 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

28242400952164 divided by its sum of digits (49) gives a square (576375529636 = 759194²).

The spelling of 28242400952164 in words is "twenty-eight trillion, two hundred forty-two billion, four hundred million, nine hundred fifty-two thousand, one hundred sixty-four".