40137328 has 40 divisors (see below), whose sum is σ = 96958080. Its totient is φ = 15637440.

The previous prime is 40137311. The next prime is 40137337. The reversal of 40137328 is 82373104.

It is a super-2 number, since 2×40137328² = 3222010197959168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40137296 and 40137305.

It is a congruent number.

It is an unprimeable number.

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, 15058 + ... + 17521.

It is an arithmetic number, because the mean of its divisors is an integer number (2423952).

Almost surely, 2^40137328 is an apocalyptic number.

It is an amenable number.

40137328 is an abundant number, since it is smaller than the sum of its proper divisors (56820752).

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

40137328 is a wasteful number, since it uses less digits than its factorization.

40137328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32605 (or 32599 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40137328 is about 6335.4027496285. The cubic root of 40137328 is about 342.3861215879.

The spelling of 40137328 in words is "forty million, one hundred thirty-seven thousand, three hundred twenty-eight".