28835268 has 72 divisors (see below), whose sum is σ = 84549696. Its totient is φ = 7487040.

The previous prime is 28835267. The next prime is 28835269. The reversal of 28835268 is 86253882.

It is an interprime number because it is at equal distance from previous prime (28835267) and next prime (28835269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28835263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8746 + ... + 11582.

Almost surely, 2^28835268 is an apocalyptic number.

28835268 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 28835268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274848).

28835268 is an abundant number, since it is smaller than the sum of its proper divisors (55714428).

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

28835268 is a wasteful number, since it uses less digits than its factorization.

28835268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2860 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 28835268 is about 5369.8480425427. The cubic root of 28835268 is about 306.6488432195.

It can be divided in two parts, 288352 and 68, that added together give a triangular number (288420 = T₇₅₉).

The spelling of 28835268 in words is "twenty-eight million, eight hundred thirty-five thousand, two hundred sixty-eight".