15127928928 has 384 divisors, whose sum is σ = 52614374400. Its totient is φ = 4138573824.

The previous prime is 15127928927. The next prime is 15127928929. The reversal of 15127928928 is 82982972151.

It is an interprime number because it is at equal distance from previous prime (15127928927) and next prime (15127928929).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15127928927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14992488 + ... + 14993496.

It is an arithmetic number, because the mean of its divisors is an integer number (137016600).

Almost surely, 2^15127928928 is an apocalyptic number.

15127928928 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 15127928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307187200).

15127928928 is an abundant number, since it is smaller than the sum of its proper divisors (37486445472).

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

15127928928 is a wasteful number, since it uses less digits than its factorization.

15127928928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 15127928928 in words is "fifteen billion, one hundred twenty-seven million, nine hundred twenty-eight thousand, nine hundred twenty-eight".