13752224928 has 288 divisors, whose sum is σ = 45728625600. Its totient is φ = 4007937024.

The previous prime is 13752224923. The next prime is 13752224933. The reversal of 13752224928 is 82942225731.

13752224928 is a `hidden beast` number, since 1 + 37 + 522 + 2 + 4 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13752224923) and next prime (13752224933).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13752224923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771826 + ... + 2776782.

It is an arithmetic number, because the mean of its divisors is an integer number (158779950).

Almost surely, 2^13752224928 is an apocalyptic number.

13752224928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864312800).

13752224928 is an abundant number, since it is smaller than the sum of its proper divisors (31976400672).

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

13752224928 is a wasteful number, since it uses less digits than its factorization.

13752224928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 4994 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13752224928 in words is "thirteen billion, seven hundred fifty-two million, two hundred twenty-four thousand, nine hundred twenty-eight".