1220855328 has 288 divisors, whose sum is σ = 4491002880. Its totient is φ = 316949760.

The previous prime is 1220855303. The next prime is 1220855351. The reversal of 1220855328 is 8235580221.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1220855292 and 1220855301.

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, 597733 + ... + 599771.

It is an arithmetic number, because the mean of its divisors is an integer number (15593760).

Almost surely, 2^1220855328 is an apocalyptic number.

1220855328 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 1220855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1220855328 is an abundant number, since it is smaller than the sum of its proper divisors (3270147552).

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

1220855328 is a wasteful number, since it uses less digits than its factorization.

1220855328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1220855328 is about 34940.7402325709. The cubic root of 1220855328 is about 1068.7793831257.

The spelling of 1220855328 in words is "one billion, two hundred twenty million, eight hundred fifty-five thousand, three hundred twenty-eight".