2928500 has 24 divisors (see below), whose sum is σ = 6396936. Its totient is φ = 1171200.

The previous prime is 2928491. The next prime is 2928509. The reversal of 2928500 is 58292.

It is an interprime number because it is at equal distance from previous prime (2928491) and next prime (2928509).

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 2917264 = 106^2 + 1708^2 .

It is a super-2 number, since 2×2928500² = 17152224500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2928500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2429 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (266539).

2^2928500 is an apocalyptic number.

2928500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928500 is an abundant number, since it is smaller than the sum of its proper divisors (3468436).

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

2928500 is a wasteful number, since it uses less digits than its factorization.

2928500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2928500 is about 1711.2860660918. The cubic root of 2928500 is about 143.0699447548.

The spelling of 2928500 in words is "two million, nine hundred twenty-eight thousand, five hundred".