4864357628928 has 330 divisors, whose sum is σ = 16897516253376. Its totient is φ = 1389815304192.

The previous prime is 4864357628863. The next prime is 4864357628929. The reversal of 4864357628928 is 8298267534684.

4864357628928 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 3 + 576 + 28 + 9 + 28 = 666.

It is a super-2 number, since 2×4864357628928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864357628929) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3465825 + ... + 4662687.

Almost surely, 2^{4864357628928} is an apocalyptic number.

4864357628928 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 4864357628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448758126688).

4864357628928 is an abundant number, since it is smaller than the sum of its proper divisors (12033158624448).

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

4864357628928 is a wasteful number, since it uses less digits than its factorization.

4864357628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196909 (or 1196875 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 4864357628928 in words is "four trillion, eight hundred sixty-four billion, three hundred fifty-seven million, six hundred twenty-eight thousand, nine hundred twenty-eight".