13872528 has 30 divisors (see below), whose sum is σ = 38824214. Its totient is φ = 4624128.

The previous prime is 13872517. The next prime is 13872533. The reversal of 13872528 is 82527831.

13872528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 2663424 = 3348^2 + 1632^2 .

It is a super-2 number, since 2×13872528² = 384894066221568, which 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 = 13872492 and 13872501.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48025 + ... + 48312.

Almost surely, 2^13872528 is an apocalyptic number.

13872528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13872528 is an abundant number, since it is smaller than the sum of its proper divisors (24951686).

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

13872528 is a wasteful number, since it uses less digits than its factorization.

13872528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96351 (or 96342 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13872528 is about 3724.5842721034. The cubic root of 13872528 is about 240.2805053587.

It can be divided in two parts, 13872 and 528, that added together give a square (14400 = 120²).

The spelling of 13872528 in words is "thirteen million, eight hundred seventy-two thousand, five hundred twenty-eight".