13628756988 has 144 divisors (see below), whose sum is σ = 43377384960. Its totient is φ = 3504816000.

The previous prime is 13628756983. The next prime is 13628757001. The reversal of 13628756988 is 88965782631.

13628756988 is a `hidden beast` number, since 1 + 3 + 62 + 8 + 7 + 569 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628756983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255633 + ... + 304311.

It is an arithmetic number, because the mean of its divisors is an integer number (301231840).

Almost surely, 2^13628756988 is an apocalyptic number.

13628756988 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 13628756988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688692480).

13628756988 is an abundant number, since it is smaller than the sum of its proper divisors (29748627972).

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

13628756988 is a wasteful number, since it uses less digits than its factorization.

13628756988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48808 (or 48803 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 13628756988 in words is "thirteen billion, six hundred twenty-eight million, seven hundred fifty-six thousand, nine hundred eighty-eight".