36128484 has 72 divisors (see below), whose sum is σ = 108974880. Its totient is φ = 10320912.

The previous prime is 36128479. The next prime is 36128501. The reversal of 36128484 is 48482163.

It is a super-2 number, since 2×36128484² = 2610534712276512, which contains 22 as substring.

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

36128484 is a modest number, since divided by 8484 gives 3612 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (1513540).

Almost surely, 2^36128484 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 36128484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54487440).

36128484 is an abundant number, since it is smaller than the sum of its proper divisors (72846396).

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

36128484 is a wasteful number, since it uses less digits than its factorization.

36128484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6839 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 36128484 is about 6010.6974636892. The cubic root of 36128484 is about 330.5850777682.

It can be divided in two parts, 3 and 6128484, that added together give a cube (6128487 = 183³).

The spelling of 36128484 in words is "thirty-six million, one hundred twenty-eight thousand, four hundred eighty-four".