28545840 has 120 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 7418880.

The previous prime is 28545827. The next prime is 28545841. The reversal of 28545840 is 4854582.

28545840 is a `hidden beast` number, since 28 + 54 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28545795 and 28545804.

It is not an unprimeable number, because it can be changed into a prime (28545841) 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, 29037 + ... + 30003.

Almost surely, 2^28545840 is an apocalyptic number.

28545840 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 28545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

28545840 is an abundant number, since it is smaller than the sum of its proper divisors (69760368).

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

28545840 is a wasteful number, since it uses less digits than its factorization.

28545840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 28545840 is about 5342.8307104006. The cubic root of 28545840 is about 305.6194166368.

The spelling of 28545840 in words is "twenty-eight million, five hundred forty-five thousand, eight hundred forty".