13772628 has 36 divisors (see below), whose sum is σ = 35013888. Its totient is φ = 4564560.

The previous prime is 13772611. The next prime is 13772639. The reversal of 13772628 is 82627731.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13772592 and 13772601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5875 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (972608).

Almost surely, 2^13772628 is an apocalyptic number.

13772628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13772628 is an abundant number, since it is smaller than the sum of its proper divisors (21241260).

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

13772628 is a wasteful number, since it uses less digits than its factorization.

13772628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2199 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13772628 is about 3711.1491481750. The cubic root of 13772628 is about 239.7023393114.

It can be divided in two parts, 13772 and 628, that added together give a square (14400 = 120²).

The spelling of 13772628 in words is "thirteen million, seven hundred seventy-two thousand, six hundred twenty-eight".