20125728 has 144 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 5626368.

The previous prime is 20125723. The next prime is 20125747. The reversal of 20125728 is 82752102.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20125723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134998 + ... + 135146.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 2^20125728 is an apocalyptic number.

20125728 is a gapful number since it is divisible by the number (28) 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 20125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20125728 is an abundant number, since it is smaller than the sum of its proper divisors (46704672).

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

20125728 is a wasteful number, since it uses less digits than its factorization.

20125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20125728 is about 4486.1707502056. The cubic root of 20125728 is about 272.0093710728.

The spelling of 20125728 in words is "twenty million, one hundred twenty-five thousand, seven hundred twenty-eight".