88282800 has 180 divisors, whose sum is σ = 310326120. Its totient is φ = 23239680.

The previous prime is 88282783. The next prime is 88282813. The reversal of 88282800 is 828288.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493111 + ... + 493289.

It is an arithmetic number, because the mean of its divisors is an integer number (1724034).

Almost surely, 2^88282800 is an apocalyptic number.

88282800 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 88282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155163060).

88282800 is an abundant number, since it is smaller than the sum of its proper divisors (222043320).

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

88282800 is a wasteful number, since it uses less digits than its factorization.

88282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88282800 is about 9395.8927196941. The cubic root of 88282800 is about 445.2719795078.

It can be divided in two parts, 8828 and 2800, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 88282800 in words is "eighty-eight million, two hundred eighty-two thousand, eight hundred".