13457928 has 64 divisors (see below), whose sum is σ = 38649600. Its totient is φ = 3862080.

The previous prime is 13457923. The next prime is 13457971. The reversal of 13457928 is 82975431.

It is a super-2 number, since 2×13457928² = 362231652106368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13457923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3675 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (603900).

Almost surely, 2^13457928 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 13457928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324800).

13457928 is an abundant number, since it is smaller than the sum of its proper divisors (25191672).

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

13457928 is a wasteful number, since it uses less digits than its factorization.

13457928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2718 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 13457928 is about 3668.5048725605. The cubic root of 13457928 is about 237.8625480367.

The spelling of 13457928 in words is "thirteen million, four hundred fifty-seven thousand, nine hundred twenty-eight".