28961124480 has 128 divisors (see below), whose sum is σ = 102570710400. Its totient is φ = 7722961920.

The previous prime is 28961124473. The next prime is 28961124499. The reversal of 28961124480 is 8442116982.

28961124480 is a `hidden beast` number, since 2 + 8 + 9 + 611 + 24 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×28961124480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820716 + ... + 855275.

It is an arithmetic number, because the mean of its divisors is an integer number (801333675).

Almost surely, 2^28961124480 is an apocalyptic number.

28961124480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28961124480 is an abundant number, since it is smaller than the sum of its proper divisors (73609585920).

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

28961124480 is a wasteful number, since it uses less digits than its factorization.

28961124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676019 (or 1676001 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28961124480 in words is "twenty-eight billion, nine hundred sixty-one million, one hundred twenty-four thousand, four hundred eighty".