3792828 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 1136640.

The previous prime is 3792827. The next prime is 3792857. The reversal of 3792828 is 8282973.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792821) 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, 6100 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 2^3792828 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 3792828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

3792828 is an abundant number, since it is smaller than the sum of its proper divisors (5986788).

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

3792828 is a wasteful number, since it uses less digits than its factorization.

3792828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 652 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3792828 is about 1947.5184209655. The cubic root of 3792828 is about 155.9508392103.

The spelling of 3792828 in words is "three million, seven hundred ninety-two thousand, eight hundred twenty-eight".