4877821728 has 192 divisors, whose sum is σ = 15816729600. Its totient is φ = 1452349440.

The previous prime is 4877821723. The next prime is 4877821757. The reversal of 4877821728 is 8271287784.

4877821728 is a `hidden beast` number, since 487 + 78 + 21 + 72 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4877821723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341188 + ... + 355196.

It is an arithmetic number, because the mean of its divisors is an integer number (82378800).

Almost surely, 2^4877821728 is an apocalyptic number.

4877821728 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 4877821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908364800).

4877821728 is an abundant number, since it is smaller than the sum of its proper divisors (10938907872).

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

4877821728 is a wasteful number, since it uses less digits than its factorization.

4877821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072 (or 14058 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The square root of 4877821728 is about 69841.4041095968. The cubic root of 4877821728 is about 1695.9328063150.

The spelling of 4877821728 in words is "four billion, eight hundred seventy-seven million, eight hundred twenty-one thousand, seven hundred twenty-eight".