2628384 has 96 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 748800.

The previous prime is 2628383. The next prime is 2628401. The reversal of 2628384 is 4838262.

2628384 = T₂₅₄ + T₂₅₅ + ... + T₃₁₇.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2628383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^2628384 is an apocalyptic number.

2628384 is a gapful number since it is divisible by the number (24) 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 2628384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2628384 is an abundant number, since it is smaller than the sum of its proper divisors (5354976).

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

2628384 is a wasteful number, since it uses less digits than its factorization.

2628384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

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

The square root of 2628384 is about 1621.2291633202. The cubic root of 2628384 is about 138.0054608215.

It can be divided in two parts, 262 and 8384, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 2628384 in words is "two million, six hundred twenty-eight thousand, three hundred eighty-four".