28135968 has 96 divisors (see below), whose sum is σ = 85276800. Its totient is φ = 7956480.

The previous prime is 28135957. The next prime is 28135973. The reversal of 28135968 is 86953182.

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

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

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, 99988 + ... + 100268.

It is an arithmetic number, because the mean of its divisors is an integer number (888300).

Almost surely, 2^28135968 is an apocalyptic number.

28135968 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 28135968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638400).

28135968 is an abundant number, since it is smaller than the sum of its proper divisors (57140832).

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

28135968 is a wasteful number, since it uses less digits than its factorization.

28135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 28135968 is about 5304.3348310603. The cubic root of 28135968 is about 304.1496262508.

The spelling of 28135968 in words is "twenty-eight million, one hundred thirty-five thousand, nine hundred sixty-eight".