13332428928 has 480 divisors, whose sum is σ = 49146831360. Its totient is φ = 3513010176.

The previous prime is 13332428911. The next prime is 13332428933. The reversal of 13332428928 is 82982423331.

13332428928 is a `hidden beast` number, since 13 + 332 + 4 + 289 + 28 = 666.

It is a super-2 number, since 2×13332428928² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12264801 + ... + 12265887.

It is an arithmetic number, because the mean of its divisors is an integer number (102389232).

Almost surely, 2^13332428928 is an apocalyptic number.

13332428928 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 13332428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573415680).

13332428928 is an abundant number, since it is smaller than the sum of its proper divisors (35814402432).

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

13332428928 is a wasteful number, since it uses less digits than its factorization.

13332428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1112 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13332428928 in words is "thirteen billion, three hundred thirty-two million, four hundred twenty-eight thousand, nine hundred twenty-eight".