15296000328 has 144 divisors (see below), whose sum is σ = 48273600960. Its totient is φ = 4362724800.

The previous prime is 15296000297. The next prime is 15296000333. The reversal of 15296000328 is 82300069251.

15296000328 is a `hidden beast` number, since 1 + 5 + 29 + 600 + 0 + 3 + 28 = 666.

It is a Cunningham number, because it is equal to 123677²-1.

It is a super-2 number, since 2×15296000328² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 15296000292 and 15296000301.

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, 2222733 + ... + 2229603.

It is an arithmetic number, because the mean of its divisors is an integer number (335233340).

Almost surely, 2^15296000328 is an apocalyptic number.

15296000328 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 15296000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136800480).

15296000328 is an abundant number, since it is smaller than the sum of its proper divisors (32977600632).

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

15296000328 is a wasteful number, since it uses less digits than its factorization.

15296000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 15296000328 its reverse (82300069251), we get a palindrome (97596069579).

The spelling of 15296000328 in words is "fifteen billion, two hundred ninety-six million, three hundred twenty-eight", and thus it is an aban number.