1220838528 has 512 divisors, whose sum is σ = 4386816000. Its totient is φ = 298045440.

The previous prime is 1220838457. The next prime is 1220838547. The reversal of 1220838528 is 8258380221.

It is a happy number.

It is a super-2 number, since 2×1220838528² = 2980893422898413568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39381873 + ... + 39381903.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^1220838528 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 1220838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408000).

1220838528 is an abundant number, since it is smaller than the sum of its proper divisors (3165977472).

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

1220838528 is a wasteful number, since it uses less digits than its factorization.

1220838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1220838528 is about 34940.4998247020. The cubic root of 1220838528 is about 1068.7744806677.

The spelling of 1220838528 in words is "one billion, two hundred twenty million, eight hundred thirty-eight thousand, five hundred twenty-eight".