36294895728 has 480 divisors, whose sum is σ = 131863560192. Its totient is φ = 9061632000.

The previous prime is 36294895727. The next prime is 36294895729. The reversal of 36294895728 is 82759849263.

36294895728 is a `hidden beast` number, since 36 + 29 + 4 + 8 + 9 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (36294895727) and next prime (36294895729).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36294895723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19091578 + ... + 19093478.

Almost surely, 2^36294895728 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 36294895728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931780096).

36294895728 is an abundant number, since it is smaller than the sum of its proper divisors (95568664464).

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

36294895728 is a wasteful number, since it uses less digits than its factorization.

36294895728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2004 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 36294895728 in words is "thirty-six billion, two hundred ninety-four million, eight hundred ninety-five thousand, seven hundred twenty-eight".