28449792 has 220 divisors, whose sum is σ = 99074800. Its totient is φ = 8128512.

The previous prime is 28449791. The next prime is 28449793. The reversal of 28449792 is 29794482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (28449791) and next prime (28449793).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28449791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4064253 + ... + 4064259.

It is an arithmetic number, because the mean of its divisors is an integer number (450340).

Almost surely, 2^28449792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49537400).

28449792 is an abundant number, since it is smaller than the sum of its proper divisors (70625008).

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

28449792 is an frugal number, since it uses more digits than its factorization.

28449792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28449792 is about 5333.8346431062. The cubic root of 28449792 is about 305.2762595958.

It can be divided in two parts, 28449 and 792, that added together give a square (29241 = 171²).

The spelling of 28449792 in words is "twenty-eight million, four hundred forty-nine thousand, seven hundred ninety-two".