1948682288 has 80 divisors (see below), whose sum is σ = 4396861440. Its totient is φ = 819452928.

The previous prime is 1948682261. The next prime is 1948682297. The reversal of 1948682288 is 8822868491.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353473 + ... + 1354911.

It is an arithmetic number, because the mean of its divisors is an integer number (54960768).

Almost surely, 2^1948682288 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 1948682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198430720).

1948682288 is an abundant number, since it is smaller than the sum of its proper divisors (2448179152).

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

1948682288 is a wasteful number, since it uses less digits than its factorization.

1948682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1668 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 56.

The square root of 1948682288 is about 44143.8816598631. The cubic root of 1948682288 is about 1249.0515019031.

The spelling of 1948682288 in words is "one billion, nine hundred forty-eight million, six hundred eighty-two thousand, two hundred eighty-eight".