5328400 has 120 divisors (see below), whose sum is σ = 16052544. Its totient is φ = 1651200.

The previous prime is 5328397. The next prime is 5328403. The reversal of 5328400 is 48235.

It is an interprime number because it is at equal distance from previous prime (5328397) and next prime (5328403).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5328403) 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, 30714 + ... + 30886.

Almost surely, 2^5328400 is an apocalyptic number.

5328400 is a gapful number since it is divisible by the number (50) 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 5328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026272).

5328400 is an abundant number, since it is smaller than the sum of its proper divisors (10724144).

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

5328400 is a wasteful number, since it uses less digits than its factorization.

5328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5328400 is about 2308.3327316485. The cubic root of 5328400 is about 174.6622055332.

The spelling of 5328400 in words is "five million, three hundred twenty-eight thousand, four hundred".