15456961728 has 252 divisors, whose sum is σ = 49760096568. Its totient is φ = 4755179520.

The previous prime is 15456961717. The next prime is 15456961753. The reversal of 15456961728 is 82716965451.

It is a happy number.

15456961728 is a `hidden beast` number, since 1 + 5 + 4 + 569 + 6 + 1 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2625348 + ... + 2631228.

Almost surely, 2^15456961728 is an apocalyptic number.

15456961728 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 15456961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24880048284).

15456961728 is an abundant number, since it is smaller than the sum of its proper divisors (34303134840).

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

15456961728 is an equidigital number, since it uses as much as digits as its factorization.

15456961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5899 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 15456961728 in words is "fifteen billion, four hundred fifty-six million, nine hundred sixty-one thousand, seven hundred twenty-eight".