7290828 has 72 divisors (see below), whose sum is σ = 19568640. Its totient is φ = 2285280.

The previous prime is 7290821. The next prime is 7290853. The reversal of 7290828 is 8280927.

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

It is a junction number, because it is equal to n+sod(n) for n = 7290792 and 7290801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7290821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52383 + ... + 52521.

Almost surely, 2^7290828 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 7290828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784320).

7290828 is an abundant number, since it is smaller than the sum of its proper divisors (12277812).

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

7290828 is a wasteful number, since it uses less digits than its factorization.

7290828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

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

The square root of 7290828 is about 2700.1533289797. The cubic root of 7290828 is about 193.9064628617.

Subtracting 7290828 from its reverse (8280927), we obtain a palindrome (990099).

It can be divided in two parts, 7290 and 828, that added together give a palindrome (8118).

The spelling of 7290828 in words is "seven million, two hundred ninety thousand, eight hundred twenty-eight".