28641024 has 108 divisors (see below), whose sum is σ = 85455552. Its totient is φ = 9216000.

The previous prime is 28641017. The next prime is 28641029. The reversal of 28641024 is 42014682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28641029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71224 + ... + 71624.

Almost surely, 2^28641024 is an apocalyptic number.

28641024 is a gapful number since it is divisible by the number (24) 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 28641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727776).

28641024 is an abundant number, since it is smaller than the sum of its proper divisors (56814528).

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

28641024 is a wasteful number, since it uses less digits than its factorization.

28641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28641024 is about 5351.7309349406. The cubic root of 28641024 is about 305.9587282540.

The spelling of 28641024 in words is "twenty-eight million, six hundred forty-one thousand, twenty-four".