474728128 has 112 divisors (see below), whose sum is σ = 1155216384. Its totient is φ = 188928000.

The previous prime is 474728123. The next prime is 474728147. The reversal of 474728128 is 821827474.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (474728123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631753 + ... + 632503.

It is an arithmetic number, because the mean of its divisors is an integer number (10314432).

Almost surely, 2^474728128 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 474728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577608192).

474728128 is an abundant number, since it is smaller than the sum of its proper divisors (680488256).

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

474728128 is a wasteful number, since it uses less digits than its factorization.

474728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its digits is 200704, while the sum is 43.

The square root of 474728128 is about 21788.2566535278. The cubic root of 474728128 is about 780.0964859822.

The spelling of 474728128 in words is "four hundred seventy-four million, seven hundred twenty-eight thousand, one hundred twenty-eight".