28959040 has 112 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 9953280.

The previous prime is 28959019. The next prime is 28959043. The reversal of 28959040 is 4095982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28959043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66664 + ... + 67096.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 2^28959040 is an apocalyptic number.

28959040 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 28959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

28959040 is an abundant number, since it is smaller than the sum of its proper divisors (50410880).

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

28959040 is a wasteful number, since it uses less digits than its factorization.

28959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 28959040 is about 5381.3604227927. The cubic root of 28959040 is about 307.0869683263.

It can be divided in two parts, 2895 and 9040, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 28959040 in words is "twenty-eight million, nine hundred fifty-nine thousand, forty".