116128800 has 162 divisors, whose sum is σ = 412748973. Its totient is φ = 30723840.

The previous prime is 116128787. The next prime is 116128813. The reversal of 116128800 is 8821611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (116128787) and next prime (116128813).

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 2322576 = 10668^2 + 1524^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7620.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 914337 + ... + 914463.

Almost surely, 2^116128800 is an apocalyptic number.

116128800 is a gapful number since it is divisible by the number (10) 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 116128800

116128800 is an abundant number, since it is smaller than the sum of its proper divisors (296620173).

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

116128800 is a wasteful number, since it uses less digits than its factorization.

116128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 116128800 is about 10776.3073452830. The cubic root of 116128800 is about 487.8803343599.

The spelling of 116128800 in words is "one hundred sixteen million, one hundred twenty-eight thousand, eight hundred".