40728120 has 64 divisors (see below), whose sum is σ = 125500320. Its totient is φ = 10566144.

The previous prime is 40728109. The next prime is 40728131. The reversal of 40728120 is 2182704.

It is an interprime number because it is at equal distance from previous prime (40728109) and next prime (40728131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 9026.

Almost surely, 2^40728120 is an apocalyptic number.

40728120 is a gapful number since it is divisible by the number (40) 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 40728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62750160).

40728120 is an abundant number, since it is smaller than the sum of its proper divisors (84772200).

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

40728120 is a wasteful number, since it uses less digits than its factorization.

40728120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40728120 is about 6381.8586634303. The cubic root of 40728120 is about 344.0578368591.

The spelling of 40728120 in words is "forty million, seven hundred twenty-eight thousand, one hundred twenty".