88024028400 has 1440 divisors, whose sum is σ = 416406681600. Its totient is φ = 17300044800.

The previous prime is 88024028377. The next prime is 88024028401. The reversal of 88024028400 is 482042088.

88024028400 is a `hidden beast` number, since 8 + 8 + 0 + 240 + 2 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88024028401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142203291 + ... + 142203909.

Almost surely, 2^88024028400 is an apocalyptic number.

88024028400 is a gapful number since it is divisible by the number (80) 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 88024028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208203340800).

88024028400 is an abundant number, since it is smaller than the sum of its proper divisors (328382653200).

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

88024028400 is a wasteful number, since it uses less digits than its factorization.

88024028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 88024028400 in words is "eighty-eight billion, twenty-four million, twenty-eight thousand, four hundred".