23328288400 has 60 divisors (see below), whose sum is σ = 56676032100. Its totient is φ = 9226455040.

The previous prime is 23328288383. The next prime is 23328288419. The reversal of 23328288400 is 488282332.

It can be written as a sum of positive squares in 6 ways, for example, as 1833209856 + 21495078544 = 42816^2 + 146612^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292045 + ... + 363244.

It is an arithmetic number, because the mean of its divisors is an integer number (944600535).

Almost surely, 2^23328288400 is an apocalyptic number.

23328288400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23328288400 is an abundant number, since it is smaller than the sum of its proper divisors (33347743700).

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

23328288400 is a wasteful number, since it uses less digits than its factorization.

23328288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655396 (or 655385 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 23328288400 in words is "twenty-three billion, three hundred twenty-eight million, two hundred eighty-eight thousand, four hundred".