88428014400 has 336 divisors, whose sum is σ = 319314259008. Its totient is φ = 21245952000.

The previous prime is 88428014377. The next prime is 88428014429. The reversal of 88428014400 is 441082488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5958990 + ... + 5973810.

Almost surely, 2^88428014400 is an apocalyptic number.

88428014400 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 88428014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159657129504).

88428014400 is an abundant number, since it is smaller than the sum of its proper divisors (230886244608).

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

88428014400 is a wasteful number, since it uses less digits than its factorization.

88428014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14970 (or 14955 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

Adding to 88428014400 its reverse (441082488), we get a palindrome (88869096888).

The spelling of 88428014400 in words is "eighty-eight billion, four hundred twenty-eight million, fourteen thousand, four hundred".