4960400928 has 288 divisors, whose sum is σ = 15709619520. Its totient is φ = 1365719040.

The previous prime is 4960400917. The next prime is 4960400941. The reversal of 4960400928 is 8290040694.

It is a super-2 number, since 2×4960400928² = 49211154733006522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4960400928.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16929550 + ... + 16929842.

It is an arithmetic number, because the mean of its divisors is an integer number (54547290).

Almost surely, 2^4960400928 is an apocalyptic number.

4960400928 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 4960400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854809760).

4960400928 is an abundant number, since it is smaller than the sum of its proper divisors (10749218592).

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

4960400928 is a wasteful number, since it uses less digits than its factorization.

4960400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4960400928 is about 70430.1137866467. The cubic root of 4960400928 is about 1705.4497459649.

The spelling of 4960400928 in words is "four billion, nine hundred sixty million, four hundred thousand, nine hundred twenty-eight".