8825728464 has 80 divisors (see below), whose sum is σ = 28952135040. Its totient is φ = 2521635840.

The previous prime is 8825728421. The next prime is 8825728469. The reversal of 8825728464 is 4648275288.

8825728464 is a `hidden beast` number, since 8 + 8 + 2 + 572 + 8 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8825728464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8825728469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456257 + ... + 1462304.

It is an arithmetic number, because the mean of its divisors is an integer number (361901688).

Almost surely, 2^8825728464 is an apocalyptic number.

8825728464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8825728464 is an abundant number, since it is smaller than the sum of its proper divisors (20126406576).

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

8825728464 is a wasteful number, since it uses less digits than its factorization.

8825728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918585 (or 2918573 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 8825728464 is about 93945.3482829246. The cubic root of 8825728464 is about 2066.5703173026.

The spelling of 8825728464 in words is "eight billion, eight hundred twenty-five million, seven hundred twenty-eight thousand, four hundred sixty-four".