23283884400 has 480 divisors, whose sum is σ = 93643530240. Its totient is φ = 4821949440.

The previous prime is 23283884389. The next prime is 23283884411. The reversal of 23283884400 is 448838232.

It is an interprime number because it is at equal distance from previous prime (23283884389) and next prime (23283884411).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3667629 + ... + 3673971.

It is an arithmetic number, because the mean of its divisors is an integer number (195090688).

Almost surely, 2^23283884400 is an apocalyptic number.

23283884400 is a gapful number since it is divisible by the number (20) 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 23283884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46821765120).

23283884400 is an abundant number, since it is smaller than the sum of its proper divisors (70359645840).

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

23283884400 is a wasteful number, since it uses less digits than its factorization.

23283884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 23283884400 in words is "twenty-three billion, two hundred eighty-three million, eight hundred eighty-four thousand, four hundred".