36285792 has 48 divisors (see below), whose sum is σ = 95562432. Its totient is φ = 12055680.

The previous prime is 36285787. The next prime is 36285797. The reversal of 36285792 is 29758263.

It is an interprime number because it is at equal distance from previous prime (36285787) and next prime (36285797).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36285797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52167 + ... + 52857.

It is an arithmetic number, because the mean of its divisors is an integer number (1990884).

Almost surely, 2^36285792 is an apocalyptic number.

36285792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36285792 is an abundant number, since it is smaller than the sum of its proper divisors (59276640).

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

36285792 is a wasteful number, since it uses less digits than its factorization.

36285792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1243 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 36285792 is about 6023.7689198707. The cubic root of 36285792 is about 331.0641861876.

The spelling of 36285792 in words is "thirty-six million, two hundred eighty-five thousand, seven hundred ninety-two".