36400128 has 132 divisors (see below), whose sum is σ = 105576072. Its totient is φ = 11141120.

The previous prime is 36400121. The next prime is 36400141. The reversal of 36400128 is 82100463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 36400098 and 36400107.

It is not an unprimeable number, because it can be changed into a prime (36400121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887788 + ... + 887828.

Almost surely, 2^36400128 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 36400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52788036).

36400128 is an abundant number, since it is smaller than the sum of its proper divisors (69175944).

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

36400128 is a wasteful number, since it uses less digits than its factorization.

36400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36400128 is about 6033.2518594867. The cubic root of 36400128 is about 331.4115477355.

The spelling of 36400128 in words is "thirty-six million, four hundred thousand, one hundred twenty-eight".