28846752 has 96 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 8574720.

The previous prime is 28846723. The next prime is 28846757. The reversal of 28846752 is 25764882.

It is a happy number.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28846757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62073 + ... + 62535.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 2^28846752 is an apocalyptic number.

28846752 is a gapful number since it is divisible by the number (22) 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 28846752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

28846752 is an abundant number, since it is smaller than the sum of its proper divisors (55341408).

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

28846752 is a wasteful number, since it uses less digits than its factorization.

28846752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 28846752 is about 5370.9172400997. The cubic root of 28846752 is about 306.6895467071.

The spelling of 28846752 in words is "twenty-eight million, eight hundred forty-six thousand, seven hundred fifty-two".