28441728 has 96 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 8123904.

The previous prime is 28441723. The next prime is 28441729. The reversal of 28441728 is 82714482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28441692 and 28441701.

It is not an unprimeable number, because it can be changed into a prime (28441723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6301 + ... + 9827.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^28441728 is an apocalyptic number.

28441728 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 28441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

28441728 is an abundant number, since it is smaller than the sum of its proper divisors (65120832).

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

28441728 is a wasteful number, since it uses less digits than its factorization.

28441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3539 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28441728 is about 5333.0786605862. The cubic root of 28441728 is about 305.2474136862.

The spelling of 28441728 in words is "twenty-eight million, four hundred forty-one thousand, seven hundred twenty-eight".