28612480 has 128 divisors (see below), whose sum is σ = 77968800. Its totient is φ = 9953280.

The previous prime is 28612471. The next prime is 28612481. The reversal of 28612480 is 8421682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28612481) 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, 157990 + ... + 158170.

Almost surely, 2^28612480 is an apocalyptic number.

28612480 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 28612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38984400).

28612480 is an abundant number, since it is smaller than the sum of its proper divisors (49356320).

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

28612480 is a wasteful number, since it uses less digits than its factorization.

28612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 28612480 is about 5349.0634694309. The cubic root of 28612480 is about 305.8570537145.

It can be divided in two parts, 28612 and 480, that added together give a palindrome (29092).

The spelling of 28612480 in words is "twenty-eight million, six hundred twelve thousand, four hundred eighty".