4958928000 has 512 divisors, whose sum is σ = 19692691200. Its totient is φ = 1219276800.

The previous prime is 4958927957. The next prime is 4958928011. The reversal of 4958928000 is 8298594.

4958928000 is a `hidden beast` number, since 49 + 589 + 28 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615559 + ... + 5616441.

Almost surely, 2^4958928000 is an apocalyptic number.

4958928000 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 4958928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846345600).

4958928000 is an abundant number, since it is smaller than the sum of its proper divisors (14733763200).

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

4958928000 is a wasteful number, since it uses less digits than its factorization.

4958928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4958928000 is about 70419.6563467900. The cubic root of 4958928000 is about 1705.2809253798.

The spelling of 4958928000 in words is "four billion, nine hundred fifty-eight million, nine hundred twenty-eight thousand".