4475737728 has 512 divisors, whose sum is σ = 16724736000. Its totient is φ = 1154165760.

The previous prime is 4475737727. The next prime is 4475737741. The reversal of 4475737728 is 8277375744.

4475737728 is a `hidden beast` number, since 4 + 47 + 573 + 7 + 7 + 28 = 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 (4475737727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32199483 + ... + 32199621.

It is an arithmetic number, because the mean of its divisors is an integer number (32665500).

Almost surely, 2^4475737728 is an apocalyptic number.

4475737728 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 4475737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362368000).

4475737728 is an abundant number, since it is smaller than the sum of its proper divisors (12248998272).

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

4475737728 is a wasteful number, since it uses less digits than its factorization.

4475737728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its digits is 9219840, while the sum is 54.

The square root of 4475737728 is about 66900.9546120233. The cubic root of 4475737728 is about 1647.9911552609.

The spelling of 4475737728 in words is "four billion, four hundred seventy-five million, seven hundred thirty-seven thousand, seven hundred twenty-eight".