28464000 has 128 divisors (see below), whose sum is σ = 94517280. Its totient is φ = 7577600.

The previous prime is 28463959. The next prime is 28464011. The reversal of 28464000 is 46482.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 47704 + ... + 48296.

Almost surely, 2^28464000 is an apocalyptic number.

28464000 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 28464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47258640).

28464000 is an abundant number, since it is smaller than the sum of its proper divisors (66053280).

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

28464000 is an equidigital number, since it uses as much as digits as its factorization.

28464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28464000 is about 5335.1663516708. The cubic root of 28464000 is about 305.3270700816.

The spelling of 28464000 in words is "twenty-eight million, four hundred sixty-four thousand".