4977635328 has 182 divisors, whose sum is σ = 14933208684. Its totient is φ = 1658216448.

The previous prime is 4977635293. The next prime is 4977635347. The reversal of 4977635328 is 8235367794.

4977635328 is a `hidden beast` number, since 49 + 7 + 7 + 63 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985151 + ... + 2986817.

Almost surely, 2^4977635328 is an apocalyptic number.

4977635328 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 4977635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466604342).

4977635328 is an abundant number, since it is smaller than the sum of its proper divisors (9955573356).

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

4977635328 is an frugal number, since it uses more digits than its factorization.

4977635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1672 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 4977635328 is about 70552.3587699235. The cubic root of 4977635328 is about 1707.4225991538.

The spelling of 4977635328 in words is "four billion, nine hundred seventy-seven million, six hundred thirty-five thousand, three hundred twenty-eight".