8928400 has 120 divisors (see below), whose sum is σ = 24701544. Its totient is φ = 3072000.

The previous prime is 8928389. The next prime is 8928407. The reversal of 8928400 is 48298.

It can be written as a sum of positive squares in 12 ways, for example, as 725904 + 8202496 = 852^2 + 2864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8928407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88350 + ... + 88450.

Almost surely, 2^8928400 is an apocalyptic number.

8928400 is a gapful number since it is divisible by the number (80) 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 8928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350772).

8928400 is an abundant number, since it is smaller than the sum of its proper divisors (15773144).

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

8928400 is a wasteful number, since it uses less digits than its factorization.

8928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8928400 is about 2988.0428377117. The cubic root of 8928400 is about 207.4553056106.

The spelling of 8928400 in words is "eight million, nine hundred twenty-eight thousand, four hundred".