4628373120 has 384 divisors, whose sum is σ = 18391726080. Its totient is φ = 1050624000.

The previous prime is 4628373091. The next prime is 4628373161. The reversal of 4628373120 is 213738264.

It is a happy number.

4628373120 is a `hidden beast` number, since 4 + 628 + 3 + 7 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 7700820 + ... + 7701420.

It is an arithmetic number, because the mean of its divisors is an integer number (47895120).

Almost surely, 2^4628373120 is an apocalyptic number.

4628373120 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 4628373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195863040).

4628373120 is an abundant number, since it is smaller than the sum of its proper divisors (13763352960).

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

4628373120 is a wasteful number, since it uses less digits than its factorization.

4628373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4628373120 is about 68032.1476950419. The cubic root of 4628373120 is about 1666.5158718681.

The spelling of 4628373120 in words is "four billion, six hundred twenty-eight million, three hundred seventy-three thousand, one hundred twenty".