28435968 has 240 divisors, whose sum is σ = 97962480. Its totient is φ = 8110080.

The previous prime is 28435963. The next prime is 28435969. The reversal of 28435968 is 86953482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28435963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672696 + ... + 1672712.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 2^28435968 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 28435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981240).

28435968 is an abundant number, since it is smaller than the sum of its proper divisors (69526512).

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

28435968 is a wasteful number, since it uses less digits than its factorization.

28435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 28435968 is about 5332.5386074552. The cubic root of 28435968 is about 305.2268061267.

It can be divided in two parts, 28435 and 968, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 28435968 in words is "twenty-eight million, four hundred thirty-five thousand, nine hundred sixty-eight".