8616628944 has 480 divisors, whose sum is σ = 31495127040. Its totient is φ = 2133734400.

The previous prime is 8616628907. The next prime is 8616628961. The reversal of 8616628944 is 4498266168.

8616628944 is a `hidden beast` number, since 8 + 6 + 1 + 6 + 628 + 9 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 40836999 + ... + 40837209.

It is an arithmetic number, because the mean of its divisors is an integer number (65614848).

Almost surely, 2^8616628944 is an apocalyptic number.

8616628944 is a gapful number since it is divisible by the number (84) 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 8616628944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747563520).

8616628944 is an abundant number, since it is smaller than the sum of its proper divisors (22878498096).

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

8616628944 is a wasteful number, since it uses less digits than its factorization.

8616628944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 8616628944 is about 92825.7989138795. The cubic root of 8616628944 is about 2050.1192826884.

The spelling of 8616628944 in words is "eight billion, six hundred sixteen million, six hundred twenty-eight thousand, nine hundred forty-four".