36403112928 has 864 divisors, whose sum is σ = 135153404064. Its totient is φ = 8472231936.

The previous prime is 36403112927. The next prime is 36403112959. The reversal of 36403112928 is 82921130463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36403112927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375289776 + ... + 375289872.

It is an arithmetic number, because the mean of its divisors is an integer number (156427551).

Almost surely, 2^36403112928 is an apocalyptic number.

36403112928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36403112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67576702032).

36403112928 is an abundant number, since it is smaller than the sum of its proper divisors (98750291136).

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

36403112928 is a wasteful number, since it uses less digits than its factorization.

36403112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

It can be divided in two parts, 36403 and 112928, that added together give a triangular number (149331 = T₅₄₆).

The spelling of 36403112928 in words is "thirty-six billion, four hundred three million, one hundred twelve thousand, nine hundred twenty-eight".