2826792 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 899712.

The previous prime is 2826773. The next prime is 2826793. The reversal of 2826792 is 2976282.

It is a super-2 number, since 2×2826792² = 15981506022528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2826793) 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, 4684 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

2^2826792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2826792 is an abundant number, since it is smaller than the sum of its proper divisors (5381208).

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

2826792 is a wasteful number, since it uses less digits than its factorization.

2826792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2826792 is about 1681.3066347338. The cubic root of 2826792 is about 141.3940989050.

The spelling of 2826792 in words is "two million, eight hundred twenty-six thousand, seven hundred ninety-two".