40225728 has 112 divisors (see below), whose sum is σ = 111922560. Its totient is φ = 12739584.

The previous prime is 40225727. The next prime is 40225733. The reversal of 40225728 is 82752204.

It is a junction number, because it is equal to n+sod(n) for n = 40225695 and 40225704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600351 + ... + 600417.

Almost surely, 2^40225728 is an apocalyptic number.

40225728 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 40225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55961280).

40225728 is an abundant number, since it is smaller than the sum of its proper divisors (71696832).

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

40225728 is a wasteful number, since it uses less digits than its factorization.

40225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 40225728 is about 6342.3755801750. The cubic root of 40225728 is about 342.6372987460.

It can be divided in two parts, 402 and 25728, that multiplied together give a square (10342656 = 3216²).

The spelling of 40225728 in words is "forty million, two hundred twenty-five thousand, seven hundred twenty-eight".