4628868120 has 384 divisors, whose sum is σ = 16735118400. Its totient is φ = 1146617856.

The previous prime is 4628868109. The next prime is 4628868133. The reversal of 4628868120 is 218688264.

4628868120 is a `hidden beast` number, since 4 + 628 + 8 + 6 + 8 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18011032 + ... + 18011288.

Almost surely, 2^4628868120 is an apocalyptic number.

4628868120 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 4628868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367559200).

4628868120 is an abundant number, since it is smaller than the sum of its proper divisors (12106250280).

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

4628868120 is a wasteful number, since it uses less digits than its factorization.

4628868120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4628868120 is about 68035.7855837647. The cubic root of 4628868120 is about 1666.5752805003.

The spelling of 4628868120 in words is "four billion, six hundred twenty-eight million, eight hundred sixty-eight thousand, one hundred twenty".