5432928400 has 120 divisors (see below), whose sum is σ = 13966020800. Its totient is φ = 2024870400.

The previous prime is 5432928379. The next prime is 5432928401. The reversal of 5432928400 is 48292345.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5432928400.

It is not an unprimeable number, because it can be changed into a prime (5432928401) 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, 457741 + ... + 469459.

Almost surely, 2^5432928400 is an apocalyptic number.

5432928400 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 5432928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983010400).

5432928400 is an abundant number, since it is smaller than the sum of its proper divisors (8533092400).

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

5432928400 is a wasteful number, since it uses less digits than its factorization.

5432928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5432928400 is about 73708.4011493941. The cubic root of 5432928400 is about 1757.9694643742.

The spelling of 5432928400 in words is "five billion, four hundred thirty-two million, nine hundred twenty-eight thousand, four hundred".