15332728320 has 960 divisors, whose sum is σ = 66919716864. Its totient is φ = 3158507520.

The previous prime is 15332728289. The next prime is 15332728337. The reversal of 15332728320 is 2382723351.

15332728320 is a `hidden beast` number, since 1 + 5 + 3 + 327 + 2 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148861389 + ... + 148861491.

Almost surely, 2^15332728320 is an apocalyptic number.

15332728320 is a gapful number since it is divisible by the number (10) 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 15332728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459858432).

15332728320 is an abundant number, since it is smaller than the sum of its proper divisors (51586988544).

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

15332728320 is a wasteful number, since it uses less digits than its factorization.

15332728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 15332728320 in words is "fifteen billion, three hundred thirty-two million, seven hundred twenty-eight thousand, three hundred twenty".