28479614843664 has 60 divisors (see below), whose sum is σ = 84391799874876. Its totient is φ = 8934781126656.

The previous prime is 28479614843639. The next prime is 28479614843677. The reversal of 28479614843664 is 46634841697482.

28479614843664 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 96 + 1 + 48 + 436 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25828553552400 + 2651061291264 = 5082180^2 + 1628208^2 .

It is a super-2 number, since 2×28479614843664² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28479614843592 and 28479614843601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5816912349 + ... + 5816917244.

Almost surely, 2^{28479614843664} is an apocalyptic number.

28479614843664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28479614843664 is an abundant number, since it is smaller than the sum of its proper divisors (55912185031212).

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

28479614843664 is a wasteful number, since it uses less digits than its factorization.

28479614843664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633829624 (or 11633829615 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 28479614843664 in words is "twenty-eight trillion, four hundred seventy-nine billion, six hundred fourteen million, eight hundred forty-three thousand, six hundred sixty-four".