473692128 has 288 divisors, whose sum is σ = 1590817536. Its totient is φ = 120766464.

The previous prime is 473692099. The next prime is 473692133. The reversal of 473692128 is 821296374.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 473692128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4883376 + ... + 4883472.

It is an arithmetic number, because the mean of its divisors is an integer number (5523672).

Almost surely, 2^473692128 is an apocalyptic number.

473692128 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 473692128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795408768).

473692128 is an abundant number, since it is smaller than the sum of its proper divisors (1117125408).

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

473692128 is a wasteful number, since it uses less digits than its factorization.

473692128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 473692128 is about 21764.4693939457. The cubic root of 473692128 is about 779.5286040564.

The spelling of 473692128 in words is "four hundred seventy-three million, six hundred ninety-two thousand, one hundred twenty-eight".