13880628 has 18 divisors (see below), whose sum is σ = 35087234. Its totient is φ = 4626864.

The previous prime is 13880617. The next prime is 13880639. The reversal of 13880628 is 82608831.

It is an interprime number because it is at equal distance from previous prime (13880617) and next prime (13880639).

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 3305124 = 3252^2 + 1818^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 385573 = 13880628 / (1 + 3 + 8 + 8 + 0 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 13880592 and 13880601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192751 + ... + 192822.

Almost surely, 2^13880628 is an apocalyptic number.

13880628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13880628 is an abundant number, since it is smaller than the sum of its proper divisors (21206606).

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

13880628 is a wasteful number, since it uses less digits than its factorization.

13880628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385583 (or 385578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13880628 is about 3725.6714831021. The cubic root of 13880628 is about 240.3272618791.

The spelling of 13880628 in words is "thirteen million, eight hundred eighty thousand, six hundred twenty-eight".