1306224828 has 36 divisors (see below), whose sum is σ = 3312629320. Its totient is φ = 433986336.

The previous prime is 1306224827. The next prime is 1306224853. The reversal of 1306224828 is 8284226031.

1306224828 is a `hidden beast` number, since 1 + 3 + 0 + 622 + 4 + 8 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1306224792 and 1306224801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306224823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48043 + ... + 70146.

Almost surely, 2^1306224828 is an apocalyptic number.

1306224828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1306224828 is an abundant number, since it is smaller than the sum of its proper divisors (2006404492).

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

1306224828 is a wasteful number, since it uses less digits than its factorization.

1306224828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118506 (or 118501 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1306224828 is about 36141.7324985950. The cubic root of 1306224828 is about 1093.1320928529.

The spelling of 1306224828 in words is "one billion, three hundred six million, two hundred twenty-four thousand, eight hundred twenty-eight".