7002828 has 96 divisors (see below), whose sum is σ = 21235200. Its totient is φ = 1954368.

The previous prime is 7002823. The next prime is 7002839. The reversal of 7002828 is 8282007.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

7002828 is a modest number, since divided by 2828 gives 700 as remainder.

It is not an unprimeable number, because it can be changed into a prime (7002823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44526 + ... + 44682.

It is an arithmetic number, because the mean of its divisors is an integer number (221200).

Almost surely, 2^7002828 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 7002828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617600).

7002828 is an abundant number, since it is smaller than the sum of its proper divisors (14232372).

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

7002828 is a wasteful number, since it uses less digits than its factorization.

7002828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7002828 is about 2646.2856988617. The cubic root of 7002828 is about 191.3188756155.

The spelling of 7002828 in words is "seven million, two thousand, eight hundred twenty-eight".