28436960 has 48 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 11309568.

The previous prime is 28436957. The next prime is 28436963. The reversal of 28436960 is 6963482.

It is an interprime number because it is at equal distance from previous prime (28436957) and next prime (28436963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28436963) 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 7 ways as a sum of consecutive naturals, for example, 35282 + ... + 36078.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^28436960 is an apocalyptic number.

28436960 is a gapful number since it is divisible by the number (20) 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 28436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

28436960 is an abundant number, since it is smaller than the sum of its proper divisors (39131296).

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

28436960 is a wasteful number, since it uses less digits than its factorization.

28436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 28436960 is about 5332.6316205041. The cubic root of 28436960 is about 305.2303554047.

The spelling of 28436960 in words is "twenty-eight million, four hundred thirty-six thousand, nine hundred sixty".