40382628 has 96 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 11136000.

The previous prime is 40382627. The next prime is 40382653. The reversal of 40382628 is 82628304.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40382627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173200 + ... + 173432.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^40382628 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 40382628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

40382628 is an abundant number, since it is smaller than the sum of its proper divisors (71892444).

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

40382628 is a wasteful number, since it uses less digits than its factorization.

40382628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40382628 is about 6354.7327245133. The cubic root of 40382628 is about 343.0822051067.

It can be divided in two parts, 4038 and 2628, that added together give a palindrome (6666).

The spelling of 40382628 in words is "forty million, three hundred eighty-two thousand, six hundred twenty-eight".