13520628 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 3875040.

The previous prime is 13520603. The next prime is 13520653. The reversal of 13520628 is 82602531.

13520628 is a `hidden beast` number, since 1 + 35 + 2 + 0 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (13520603) and next prime (13520653).

It is a super-3 number, since 3×13520628³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22273 + ... + 22871.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 2^13520628 is an apocalyptic number.

13520628 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 13520628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

13520628 is an abundant number, since it is smaller than the sum of its proper divisors (26799372).

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

13520628 is a wasteful number, since it uses less digits than its factorization.

13520628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13520628 is about 3677.0406579204. The cubic root of 13520628 is about 238.2313735173.

The spelling of 13520628 in words is "thirteen million, five hundred twenty thousand, six hundred twenty-eight".