13421852928 has 540 divisors, whose sum is σ = 46361378448. Its totient is φ = 3829524480.

The previous prime is 13421852923. The next prime is 13421852953. The reversal of 13421852928 is 82925812431.

13421852928 is a `hidden beast` number, since 1 + 342 + 18 + 5 + 292 + 8 = 666.

It is a super-2 number, since 2×13421852928² (a number of 21 digits) contains 22 as substring.

Its product of digits (276480) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (13421852923) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82342575 + ... + 82342737.

Almost surely, 2^13421852928 is an apocalyptic number.

13421852928 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 13421852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23180689224).

13421852928 is an abundant number, since it is smaller than the sum of its proper divisors (32939525520).

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

13421852928 is a wasteful number, since it uses less digits than its factorization.

13421852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13421852928 in words is "thirteen billion, four hundred twenty-one million, eight hundred fifty-two thousand, nine hundred twenty-eight".