7461828 has 72 divisors (see below), whose sum is σ = 21301280. Its totient is φ = 2257200.

The previous prime is 7461809. The next prime is 7461847. The reversal of 7461828 is 8281647.

It is an interprime number because it is at equal distance from previous prime (7461809) and next prime (7461847).

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

It is a d-powerful number, because it can be written as 7⁸ + 4⁷ + 6⁸ + 1 + 8³ + 2 + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 7461792 and 7461801.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12783 + ... + 13353.

Almost surely, 2^7461828 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 7461828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650640).

7461828 is an abundant number, since it is smaller than the sum of its proper divisors (13839452).

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

7461828 is a wasteful number, since it uses less digits than its factorization.

7461828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

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

The square root of 7461828 is about 2731.6346754279. The cubic root of 7461828 is about 195.4107318940.

The spelling of 7461828 in words is "seven million, four hundred sixty-one thousand, eight hundred twenty-eight".