7349628 has 48 divisors (see below), whose sum is σ = 20151936. Its totient is φ = 2055360.

The previous prime is 7349621. The next prime is 7349647. The reversal of 7349628 is 8269437.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7349621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (419832).

Almost surely, 2^7349628 is an apocalyptic number.

7349628 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 7349628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075968).

7349628 is an abundant number, since it is smaller than the sum of its proper divisors (12802308).

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

7349628 is a wasteful number, since it uses less digits than its factorization.

7349628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4312 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 7349628 is about 2711.0197343435. The cubic root of 7349628 is about 194.4263482721.

The spelling of 7349628 in words is "seven million, three hundred forty-nine thousand, six hundred twenty-eight".