4000728 has 32 divisors (see below), whose sum is σ = 10119600. Its totient is φ = 1317888.

The previous prime is 4000723. The next prime is 4000741. The reversal of 4000728 is 8270004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 3072.

Almost surely, 2^4000728 is an apocalyptic number.

It is an amenable number.

4000728 is an abundant number, since it is smaller than the sum of its proper divisors (6118872).

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

4000728 is a wasteful number, since it uses less digits than its factorization.

4000728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4000728 is about 2000.1819917198. The cubic root of 4000728 is about 158.7497348457.

The spelling of 4000728 in words is "four million, seven hundred twenty-eight", and thus it is an aban number.