2872828 has 48 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 1152576.

The previous prime is 2872823. The next prime is 2872853. The reversal of 2872828 is 8282782.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872823) 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, 48663 + ... + 48721.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

2^2872828 is an apocalyptic number.

2872828 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 2872828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2872828 is an abundant number, since it is smaller than the sum of its proper divisors (3255812).

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

2872828 is a wasteful number, since it uses less digits than its factorization.

2872828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 2872828 is about 1694.9418869094. The cubic root of 2872828 is about 142.1575319767.

It can be divided in two parts, 287282 and 8, that multiplied together give a square (2298256 = 1516²).

The spelling of 2872828 in words is "two million, eight hundred seventy-two thousand, eight hundred twenty-eight".