7029828 has 60 divisors (see below), whose sum is σ = 19802860. Its totient is φ = 2161728.

The previous prime is 7029821. The next prime is 7029833. The reversal of 7029828 is 8289207.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 4743684 = 1512^2 + 2178^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7029792 and 7029801.

It is not an unprimeable number, because it can be changed into a prime (7029821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3378 + ... + 5046.

Almost surely, 2^7029828 is an apocalyptic number.

7029828 is a gapful number since it is divisible by the number (78) 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 7029828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901430).

7029828 is an abundant number, since it is smaller than the sum of its proper divisors (12773032).

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

7029828 is a wasteful number, since it uses less digits than its factorization.

7029828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7029828 is about 2651.3822809999. The cubic root of 7029828 is about 191.5644423594.

The spelling of 7029828 in words is "seven million, twenty-nine thousand, eight hundred twenty-eight".