88728480 has 384 divisors, whose sum is σ = 348364800. Its totient is φ = 20984832.

The previous prime is 88728473. The next prime is 88728481. The reversal of 88728480 is 8482788.

It is a super-2 number, since 2×88728480² = 15745486326220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88728481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887817 + ... + 1887863.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^88728480 is an apocalyptic number.

88728480 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 88728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

88728480 is an abundant number, since it is smaller than the sum of its proper divisors (259636320).

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

88728480 is a wasteful number, since it uses less digits than its factorization.

88728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 88728480 is about 9419.5796084539. The cubic root of 88728480 is about 446.0200142506.

It can be divided in two parts, 887284 and 80, that added together give a square (887364 = 942²).

The spelling of 88728480 in words is "eighty-eight million, seven hundred twenty-eight thousand, four hundred eighty".