4628138800 has 120 divisors (see below), whose sum is σ = 11531261952. Its totient is φ = 1783200000.

The previous prime is 4628138789. The next prime is 4628138941. The reversal of 4628138800 is 88318264.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111657 + ... + 3113143.

Almost surely, 2^4628138800 is an apocalyptic number.

4628138800 is a gapful number since it is divisible by the number (40) 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 4628138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765630976).

4628138800 is an abundant number, since it is smaller than the sum of its proper divisors (6903123152).

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

4628138800 is a wasteful number, since it uses less digits than its factorization.

4628138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 4628138800 is about 68030.4255462216. The cubic root of 4628138800 is about 1666.4877479046.

The spelling of 4628138800 in words is "four billion, six hundred twenty-eight million, one hundred thirty-eight thousand, eight hundred".