33728706756 has 18 divisors (see below), whose sum is σ = 85258675502. Its totient is φ = 11242902240.

The previous prime is 33728706751. The next prime is 33728706761. The reversal of 33728706756 is 65760782733.

It is an interprime number because it is at equal distance from previous prime (33728706751) and next prime (33728706761).

It can be written as a sum of positive squares in only one way, i.e., 17798228100 + 15930478656 = 133410^2 + 126216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33728706756² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33728706751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 468454225 + ... + 468454296.

Almost surely, 2^33728706756 is an apocalyptic number.

33728706756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33728706756 is an abundant number, since it is smaller than the sum of its proper divisors (51529968746).

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

33728706756 is a wasteful number, since it uses less digits than its factorization.

33728706756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936908531 (or 936908526 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 33728706756 in words is "thirty-three billion, seven hundred twenty-eight million, seven hundred six thousand, seven hundred fifty-six".