1226082528 has 384 divisors, whose sum is σ = 4180377600. Its totient is φ = 345945600.

The previous prime is 1226082527. The next prime is 1226082553. The reversal of 1226082528 is 8252806221.

1226082528 is a `hidden beast` number, since 1 + 2 + 2 + 608 + 25 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1226082492 and 1226082501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226082527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15519993 + ... + 15520071.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1226082528 is an apocalyptic number.

1226082528 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 1226082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1226082528 is an abundant number, since it is smaller than the sum of its proper divisors (2954295072).

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

1226082528 is a wasteful number, since it uses less digits than its factorization.

1226082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1226082528 is about 35015.4612707015. The cubic root of 1226082528 is about 1070.3025691044.

Adding to 1226082528 its reverse (8252806221), we get a palindrome (9478888749).

The spelling of 1226082528 in words is "one billion, two hundred twenty-six million, eighty-two thousand, five hundred twenty-eight".