28169151264 has 72 divisors (see below), whose sum is σ = 80379664092. Its totient is φ = 9357642240.

The previous prime is 28169151253. The next prime is 28169151287. The reversal of 28169151264 is 46215196182.

28169151264 is a `hidden beast` number, since 281 + 69 + 1 + 51 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27922410000 + 246741264 = 167100^2 + 15708^2 .

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

It is a super-2 number, since 2×28169151264² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 82527 + ... + 251294.

Almost surely, 2^28169151264 is an apocalyptic number.

28169151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28169151264 is an abundant number, since it is smaller than the sum of its proper divisors (52210512828).

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

28169151264 is a wasteful number, since it uses less digits than its factorization.

28169151264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334130 (or 334119 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 28169151264 in words is "twenty-eight billion, one hundred sixty-nine million, one hundred fifty-one thousand, two hundred sixty-four".