28273824 has 72 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 8926848.

The previous prime is 28273769. The next prime is 28273841. The reversal of 28273824 is 42837282.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2889 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (1175720).

Almost surely, 2^28273824 is an apocalyptic number.

28273824 is a gapful number since it is divisible by the number (24) 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 28273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325920).

28273824 is an abundant number, since it is smaller than the sum of its proper divisors (56378016).

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

28273824 is a wasteful number, since it uses less digits than its factorization.

28273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5191 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 28273824 is about 5317.3136074525. The cubic root of 28273824 is about 304.6455579821.

The spelling of 28273824 in words is "twenty-eight million, two hundred seventy-three thousand, eight hundred twenty-four".