1936008128 has 84 divisors (see below), whose sum is σ = 4026679272. Its totient is φ = 922821120.

The previous prime is 1936008103. The next prime is 1936008131. The reversal of 1936008128 is 8218006391.

It is a junction number, because it is equal to n+sod(n) for n = 1936008091 and 1936008100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14778623 + ... + 14778753.

It is an arithmetic number, because the mean of its divisors is an integer number (47936658).

Almost surely, 2^1936008128 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 1936008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013339636).

1936008128 is an abundant number, since it is smaller than the sum of its proper divisors (2090671144).

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

1936008128 is an equidigital number, since it uses as much as digits as its factorization.

1936008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1936008128 is about 44000.0923635394. The cubic root of 1936008128 is about 1246.3376810551.

The spelling of 1936008128 in words is "one billion, nine hundred thirty-six million, eight thousand, one hundred twenty-eight".