88281900 has 252 divisors, whose sum is σ = 330155952. Its totient is φ = 20062080.

The previous prime is 88281863. The next prime is 88281911. The reversal of 88281900 is 918288.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×88281900² = 15587387735220000, which contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 510214 + ... + 510386.

Almost surely, 2^88281900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88281900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165077976).

88281900 is an abundant number, since it is smaller than the sum of its proper divisors (241874052).

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

88281900 is a wasteful number, since it uses less digits than its factorization.

88281900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 88281900 is about 9395.8448263049. The cubic root of 88281900 is about 445.2704663926.

The spelling of 88281900 in words is "eighty-eight million, two hundred eighty-one thousand, nine hundred".