1225327428 has 144 divisors (see below), whose sum is σ = 3552350256. Its totient is φ = 352788480.

The previous prime is 1225327417. The next prime is 1225327447. The reversal of 1225327428 is 8247235221.

1225327428 is a `hidden beast` number, since 1 + 225 + 3 + 2 + 7 + 428 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2985984 + 1222341444 = 1728^2 + 34962^2 .

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 = 1225327392 and 1225327401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853418 + ... + 1854078.

It is an arithmetic number, because the mean of its divisors is an integer number (24669099).

Almost surely, 2^1225327428 is an apocalyptic number.

1225327428 is a gapful number since it is divisible by the number (18) 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 1225327428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776175128).

1225327428 is an abundant number, since it is smaller than the sum of its proper divisors (2327022828).

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

1225327428 is a wasteful number, since it uses less digits than its factorization.

1225327428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1225327428 is about 35004.6772303359. The cubic root of 1225327428 is about 1070.0828037355.

The spelling of 1225327428 in words is "one billion, two hundred twenty-five million, three hundred twenty-seven thousand, four hundred twenty-eight".