8274728 has 96 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 3024000.

The previous prime is 8274727. The next prime is 8274751.

8274728 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8274728² = 136942246947968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8274691 and 8274700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274727) 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 23 ways as a sum of consecutive naturals, for example, 81878 + ... + 81978.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^8274728 is an apocalyptic number.

8274728 is a gapful number since it is divisible by the number (88) 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 8274728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

8274728 is an abundant number, since it is smaller than the sum of its proper divisors (12655672).

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

8274728 is a wasteful number, since it uses less digits than its factorization.

8274728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 8274728 is about 2876.5826947960. The cubic root of 8274728 is about 202.2636820537.

It can be divided in two parts, 827 and 4728, that added together give a palindrome (5555).

The spelling of 8274728 in words is "eight million, two hundred seventy-four thousand, seven hundred twenty-eight".