28567968 has 96 divisors (see below), whose sum is σ = 88143552. Its totient is φ = 7987200.

The previous prime is 28567967. The next prime is 28568003. The reversal of 28567968 is 86976582.

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

It is a super-2 number, since 2×28567968² = 1632257591298048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28567968.

It is not an unprimeable number, because it can be changed into a prime (28567961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12688 + ... + 14768.

It is an arithmetic number, because the mean of its divisors is an integer number (918162).

Almost surely, 2^28567968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44071776).

28567968 is an abundant number, since it is smaller than the sum of its proper divisors (59575584).

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

28567968 is a wasteful number, since it uses less digits than its factorization.

28567968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 28567968 is about 5344.9011216298. The cubic root of 28567968 is about 305.6983656742.

The spelling of 28567968 in words is "twenty-eight million, five hundred sixty-seven thousand, nine hundred sixty-eight".