2628172800 has 792 divisors, whose sum is σ = 11047609872. Its totient is φ = 589824000.

The previous prime is 2628172747. The next prime is 2628172819. The reversal of 2628172800 is 82718262.

It is a happy number.

2628172800 is a `hidden beast` number, since 2 + 628 + 1 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 43084770 + ... + 43084830.

Almost surely, 2^2628172800 is an apocalyptic number.

2628172800 is a gapful number since it is divisible by the number (20) 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 2628172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523804936).

2628172800 is an abundant number, since it is smaller than the sum of its proper divisors (8419437072).

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

2628172800 is a wasteful number, since it uses less digits than its factorization.

2628172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2628172800 is about 51265.7078367206. The cubic root of 2628172800 is about 1380.0176431267.

The spelling of 2628172800 in words is "two billion, six hundred twenty-eight million, one hundred seventy-two thousand, eight hundred".