36121728 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 11916288.

The previous prime is 36121703. The next prime is 36121739. The reversal of 36121728 is 82712163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 36121695 and 36121704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41425 + ... + 42287.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^36121728 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 36121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

36121728 is an abundant number, since it is smaller than the sum of its proper divisors (60819072).

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

36121728 is a wasteful number, since it uses less digits than its factorization.

36121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 36121728 is about 6010.1354394057. The cubic root of 36121728 is about 330.5644700946.

The spelling of 36121728 in words is "thirty-six million, one hundred twenty-one thousand, seven hundred twenty-eight".