116436528 has 100 divisors (see below), whose sum is σ = 362976768. Its totient is φ = 35821440.

The previous prime is 116436493. The next prime is 116436539. The reversal of 116436528 is 825634611.

116436528 = 1892² + 1893² + ... + 1923².

It is a happy number.

116436528 is a `hidden beast` number, since 1 + 1 + 643 + 6 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116436492 and 116436501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13393 + ... + 20303.

Almost surely, 2^116436528 is an apocalyptic number.

116436528 is a gapful number since it is divisible by the number (18) 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 116436528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

116436528 is an abundant number, since it is smaller than the sum of its proper divisors (246540240).

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

116436528 is a wasteful number, since it uses less digits than its factorization.

116436528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6929 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116436528 is about 10790.5758882462. The cubic root of 116436528 is about 488.3108965788.

It can be divided in two parts, 116436 and 528, that added together give a square (116964 = 342²).

The spelling of 116436528 in words is "one hundred sixteen million, four hundred thirty-six thousand, five hundred twenty-eight".