15082729728 has 288 divisors, whose sum is σ = 45659951232. Its totient is φ = 4379443200.

The previous prime is 15082729699. The next prime is 15082729759. The reversal of 15082729728 is 82792728051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22817718 + ... + 22818378.

Almost surely, 2^15082729728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15082729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829975616).

15082729728 is an abundant number, since it is smaller than the sum of its proper divisors (30577221504).

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

15082729728 is a wasteful number, since it uses less digits than its factorization.

15082729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

It can be divided in two parts, 15082 and 729728, that added together give a triangular number (744810 = T₁₂₂₀).

The spelling of 15082729728 in words is "fifteen billion, eighty-two million, seven hundred twenty-nine thousand, seven hundred twenty-eight".