40131828 has 144 divisors (see below), whose sum is σ = 118870080. Its totient is φ = 11689920.

The previous prime is 40131797. The next prime is 40131851. The reversal of 40131828 is 82813104.

40131828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40131828² = 3221127237243168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483475 + ... + 483557.

Almost surely, 2^40131828 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 40131828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59435040).

40131828 is an abundant number, since it is smaller than the sum of its proper divisors (78738252).

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

40131828 is a wasteful number, since it uses less digits than its factorization.

40131828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40131828 is about 6334.9686660630. The cubic root of 40131828 is about 342.3704818681.

The spelling of 40131828 in words is "forty million, one hundred thirty-one thousand, eight hundred twenty-eight".