4644476928 has 576 divisors, whose sum is σ = 17265830400. Its totient is φ = 1207664640.

The previous prime is 4644476923. The next prime is 4644476939. The reversal of 4644476928 is 8296744464.

4644476928 is a `hidden beast` number, since 46 + 44 + 476 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9289728) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4644476923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65415133 + ... + 65415203.

It is an arithmetic number, because the mean of its divisors is an integer number (29975400).

Almost surely, 2^4644476928 is an apocalyptic number.

4644476928 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 4644476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632915200).

4644476928 is an abundant number, since it is smaller than the sum of its proper divisors (12621353472).

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

4644476928 is a wasteful number, since it uses less digits than its factorization.

4644476928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4644476928 is about 68150.3993238484. The cubic root of 4644476928 is about 1668.4464412361.

The spelling of 4644476928 in words is "four billion, six hundred forty-four million, four hundred seventy-six thousand, nine hundred twenty-eight".