4977628628 has 96 divisors (see below), whose sum is σ = 11075678208. Its totient is φ = 1907136000.

The previous prime is 4977628583. The next prime is 4977628673. The reversal of 4977628628 is 8268267794.

It is an interprime number because it is at equal distance from previous prime (4977628583) and next prime (4977628673).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651643 + ... + 1654653.

It is an arithmetic number, because the mean of its divisors is an integer number (115371648).

Almost surely, 2^4977628628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977628628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537839104).

4977628628 is an abundant number, since it is smaller than the sum of its proper divisors (6098049580).

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

4977628628 is a wasteful number, since it uses less digits than its factorization.

4977628628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3211 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 59.

The square root of 4977628628 is about 70552.3112874412. The cubic root of 4977628628 is about 1707.4218330781.

The spelling of 4977628628 in words is "four billion, nine hundred seventy-seven million, six hundred twenty-eight thousand, six hundred twenty-eight".