8892225408 has 128 divisors (see below), whose sum is σ = 26887852800. Its totient is φ = 2577428480.

The previous prime is 8892225401. The next prime is 8892225413. The reversal of 8892225408 is 8045222988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8892225401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51388 + ... + 142916.

It is an arithmetic number, because the mean of its divisors is an integer number (210061350).

Almost surely, 2^8892225408 is an apocalyptic number.

8892225408 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 8892225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443926400).

8892225408 is an abundant number, since it is smaller than the sum of its proper divisors (17995627392).

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

8892225408 is a wasteful number, since it uses less digits than its factorization.

8892225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91580 (or 91568 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 8892225408 is about 94298.5970627347. The cubic root of 8892225408 is about 2071.7474883964.

The spelling of 8892225408 in words is "eight billion, eight hundred ninety-two million, two hundred twenty-five thousand, four hundred eight".