2687328 has 144 divisors (see below), whose sum is σ = 9225216. Its totient is φ = 725760.

The previous prime is 2687323. The next prime is 2687329. The reversal of 2687328 is 8237862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 2¹⁹ + 6 + 8⁵ + 7³ + 3 + 2²¹ + 8⁵ .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2687292 and 2687301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62475 + ... + 62517.

It is an arithmetic number, because the mean of its divisors is an integer number (64064).

2^2687328 is an apocalyptic number.

2687328 is a gapful number since it is divisible by the number (28) 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 2687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612608).

2687328 is an abundant number, since it is smaller than the sum of its proper divisors (6537888).

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

2687328 is a wasteful number, since it uses less digits than its factorization.

2687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2687328 is about 1639.3071707279. The cubic root of 2687328 is about 139.0294780743.

The spelling of 2687328 in words is "two million, six hundred eighty-seven thousand, three hundred twenty-eight".