9928400 has 30 divisors (see below), whose sum is σ = 23853942. Its totient is φ = 3971200.

The previous prime is 9928397. The next prime is 9928403. The reversal of 9928400 is 48299.

It is an interprime number because it is at equal distance from previous prime (9928397) and next prime (9928403).

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 9909904 = 136^2 + 3148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12011 + ... + 12810.

Almost surely, 2^9928400 is an apocalyptic number.

It is an amenable number.

9928400 is an abundant number, since it is smaller than the sum of its proper divisors (13925542).

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

9928400 is a wasteful number, since it uses less digits than its factorization.

9928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24839 (or 24828 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 9928400 is about 3150.9363687641. The cubic root of 9928400 is about 214.9280451479.

The spelling of 9928400 in words is "nine million, nine hundred twenty-eight thousand, four hundred".