5328354400 has 72 divisors (see below), whose sum is σ = 13427515584. Its totient is φ = 2062579200.

The previous prime is 5328354389. The next prime is 5328354419. The reversal of 5328354400 is 44538235.

It is a super-2 number, since 2×5328354400² = 56782721223998720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82627 + ... + 132226.

It is an arithmetic number, because the mean of its divisors is an integer number (186493272).

Almost surely, 2^5328354400 is an apocalyptic number.

5328354400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5328354400 is an abundant number, since it is smaller than the sum of its proper divisors (8099161184).

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

5328354400 is a wasteful number, since it uses less digits than its factorization.

5328354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214904 (or 214891 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5328354400 is about 72995.5779482566. The cubic root of 5328354400 is about 1746.6170728364.

The spelling of 5328354400 in words is "five billion, three hundred twenty-eight million, three hundred fifty-four thousand, four hundred".