28468320 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 7515648.

The previous prime is 28468303. The next prime is 28468337. The reversal of 28468320 is 2386482.

It is an interprime number because it is at equal distance from previous prime (28468303) and next prime (28468337).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60727 + ... + 61193.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^28468320 is an apocalyptic number.

28468320 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 28468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

28468320 is an abundant number, since it is smaller than the sum of its proper divisors (62106528).

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

28468320 is a wasteful number, since it uses less digits than its factorization.

28468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28468320 is about 5335.5711971634. The cubic root of 28468320 is about 305.3425158637.

The spelling of 28468320 in words is "twenty-eight million, four hundred sixty-eight thousand, three hundred twenty".