40028672 has 40 divisors (see below), whose sum is σ = 82179636. Its totient is φ = 19464192.

The previous prime is 40028641. The next prime is 40028689. The reversal of 40028672 is 27682004.

It can be written as a sum of positive squares in 2 ways, for example, as 39137536 + 891136 = 6256^2 + 944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17888 + ... + 20000.

Almost surely, 2^40028672 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 40028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41089818).

40028672 is an abundant number, since it is smaller than the sum of its proper divisors (42150964).

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

40028672 is an equidigital number, since it uses as much as digits as its factorization.

40028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 40028672 is about 6326.8216349127. The cubic root of 40028672 is about 342.0768838695.

The spelling of 40028672 in words is "forty million, twenty-eight thousand, six hundred seventy-two".