884473128 has 384 divisors, whose sum is σ = 3191270400. Its totient is φ = 224380800.

The previous prime is 884473091. The next prime is 884473129. The reversal of 884473128 is 821374488.

884473128 is a `hidden beast` number, since 88 + 447 + 3 + 128 = 666.

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 (884473129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8266051 + ... + 8266157.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2^884473128 is an apocalyptic number.

884473128 is a gapful number since it is divisible by the number (88) 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 884473128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595635200).

884473128 is an abundant number, since it is smaller than the sum of its proper divisors (2306797272).

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

884473128 is a wasteful number, since it uses less digits than its factorization.

884473128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 884473128 is about 29740.0929386577. The cubic root of 884473128 is about 959.9049124569.

The spelling of 884473128 in words is "eight hundred eighty-four million, four hundred seventy-three thousand, one hundred twenty-eight".