7416828 has 36 divisors (see below), whose sum is σ = 19852560. Its totient is φ = 2326656.

The previous prime is 7416823. The next prime is 7416839. The reversal of 7416828 is 8286147.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 7416792 and 7416801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7416823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5448 + ... + 6671.

It is an arithmetic number, because the mean of its divisors is an integer number (551460).

Almost surely, 2^7416828 is an apocalyptic number.

It is an amenable number.

7416828 is an abundant number, since it is smaller than the sum of its proper divisors (12435732).

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

7416828 is a wasteful number, since it uses less digits than its factorization.

7416828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146 (or 12141 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7416828 is about 2723.3853932193. The cubic root of 7416828 is about 195.0171188127.

It can be divided in two parts, 741 and 6828, that added together give a square (7569 = 87²).

The spelling of 7416828 in words is "seven million, four hundred sixteen thousand, eight hundred twenty-eight".