28432560 has 120 divisors (see below), whose sum is σ = 95578704. Its totient is φ = 6988800.

The previous prime is 28432559. The next prime is 28432561. The reversal of 28432560 is 6523482.

It is an interprime number because it is at equal distance from previous prime (28432559) and next prime (28432561).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (28432561) 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, 40210 + ... + 40910.

Almost surely, 2^28432560 is an apocalyptic number.

28432560 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 28432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47789352).

28432560 is an abundant number, since it is smaller than the sum of its proper divisors (67146144).

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

28432560 is a wasteful number, since it uses less digits than its factorization.

28432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28432560 is about 5332.2190502642. The cubic root of 28432560 is about 305.2146120102.

The spelling of 28432560 in words is "twenty-eight million, four hundred thirty-two thousand, five hundred sixty".