4658672928 has 576 divisors, whose sum is σ = 17000202240. Its totient is φ = 1086898176.

The previous prime is 4658672903. The next prime is 4658672951. The reversal of 4658672928 is 8292768564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 36682401 + ... + 36682527.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 2^4658672928 is an apocalyptic number.

4658672928 is a gapful number since it is divisible by the number (48) 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 4658672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500101120).

4658672928 is an abundant number, since it is smaller than the sum of its proper divisors (12341529312).

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

4658672928 is a wasteful number, since it uses less digits than its factorization.

4658672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 4658672928 is about 68254.4718534984. The cubic root of 4658672928 is about 1670.1445998114.

The spelling of 4658672928 in words is "four billion, six hundred fifty-eight million, six hundred seventy-two thousand, nine hundred twenty-eight".