40777728 has 48 divisors (see below), whose sum is σ = 108730440. Its totient is φ = 13590528.

The previous prime is 40777721. The next prime is 40777729. The reversal of 40777728 is 82777704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40777728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40777721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2826 + ... + 9462.

Almost surely, 2^40777728 is an apocalyptic number.

40777728 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 40777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54365220).

40777728 is an abundant number, since it is smaller than the sum of its proper divisors (67952712).

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

40777728 is an equidigital number, since it uses as much as digits as its factorization.

40777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 40777728 is about 6385.7441226532. The cubic root of 40777728 is about 344.1974709012.

The spelling of 40777728 in words is "forty million, seven hundred seventy-seven thousand, seven hundred twenty-eight".