9281628 has 48 divisors (see below), whose sum is σ = 24383520. Its totient is φ = 3090960.

The previous prime is 9281611. The next prime is 9281647. The reversal of 9281628 is 8261829.

9281628 is a `hidden beast` number, since 9 + 28 + 1 + 628 = 666.

It is a super-2 number, since 2×9281628² = 172297236660768, which contains 22 as substring.

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 = 9281592 and 9281601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8218 + ... + 9278.

It is an arithmetic number, because the mean of its divisors is an integer number (507990).

Almost surely, 2^9281628 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 9281628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191760).

9281628 is an abundant number, since it is smaller than the sum of its proper divisors (15101892).

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

9281628 is a wasteful number, since it uses less digits than its factorization.

9281628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9281628 is about 3046.5764392183. The cubic root of 9281628 is about 210.1558027459.

It can be divided in two parts, 928 and 1628, that added together give a triangular number (2556 = T₇₁).

The spelling of 9281628 in words is "nine million, two hundred eighty-one thousand, six hundred twenty-eight".