2928000 has 128 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 768000.

The previous prime is 2927983. The next prime is 2928007. The reversal of 2928000 is 8292.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47970 + ... + 48030.

2^2928000 is an apocalyptic number.

2928000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2928000 is the 915-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

2928000 is an abundant number, since it is smaller than the sum of its proper divisors (6937440).

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

2928000 is an equidigital number, since it uses as much as digits as its factorization.

2928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2928000 is about 1711.1399708966. The cubic root of 2928000 is about 143.0618019008.

The spelling of 2928000 in words is "two million, nine hundred twenty-eight thousand".