40764528 has 120 divisors (see below), whose sum is σ = 134028128. Its totient is φ = 11321856.

The previous prime is 40764527. The next prime is 40764547. The reversal of 40764528 is 82546704.

40764528 is a `hidden beast` number, since 4 + 0 + 7 + 645 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40764492 and 40764501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40764523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36750 + ... + 37842.

Almost surely, 2^40764528 is an apocalyptic number.

40764528 is a gapful number since it is divisible by the number (48) 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 40764528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67014064).

40764528 is an abundant number, since it is smaller than the sum of its proper divisors (93263600).

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

40764528 is a wasteful number, since it uses less digits than its factorization.

40764528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40764528 is about 6384.7104867801. The cubic root of 40764528 is about 344.1603272841.

The spelling of 40764528 in words is "forty million, seven hundred sixty-four thousand, five hundred twenty-eight".