28735344 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 8706240.

The previous prime is 28735337. The next prime is 28735361. The reversal of 28735344 is 44353782.

It is a happy number.

28735344 is a `hidden beast` number, since 287 + 35 + 344 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28735299 and 28735308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^28735344 is an apocalyptic number.

28735344 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 28735344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

28735344 is an abundant number, since it is smaller than the sum of its proper divisors (61258896).

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

28735344 is a wasteful number, since it uses less digits than its factorization.

28735344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6063 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 28735344 is about 5360.5357941161. The cubic root of 28735344 is about 306.2942191321.

The spelling of 28735344 in words is "twenty-eight million, seven hundred thirty-five thousand, three hundred forty-four".