8273628 has 72 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 2357760.

The previous prime is 8273627. The next prime is 8273647. The reversal of 8273628 is 8263728.

It is a happy number.

8273628 is a `hidden beast` number, since 8 + 27 + 3 + 628 = 666.

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 8³ + 2⁷ + 7⁸ + 3³ + 6⁷ + 2¹⁷ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 8273592 and 8273601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273623) 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, 6118 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (335790).

Almost surely, 2^8273628 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 8273628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

8273628 is an abundant number, since it is smaller than the sum of its proper divisors (15903252).

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

8273628 is a wasteful number, since it uses less digits than its factorization.

8273628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1262 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8273628 is about 2876.3914893491. The cubic root of 8273628 is about 202.2547190236.

The spelling of 8273628 in words is "eight million, two hundred seventy-three thousand, six hundred twenty-eight".