1481948928 has 216 divisors, whose sum is σ = 4557098000. Its totient is φ = 461832192.

The previous prime is 1481948921. The next prime is 1481948933. The reversal of 1481948928 is 8298491841.

It is a happy number.

1481948928 is a `hidden beast` number, since 148 + 19 + 489 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481948921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4246098 + ... + 4246446.

Almost surely, 2^1481948928 is an apocalyptic number.

1481948928 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 1481948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278549000).

1481948928 is an abundant number, since it is smaller than the sum of its proper divisors (3075149072).

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

1481948928 is a wasteful number, since it uses less digits than its factorization.

1481948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 1481948928 is about 38496.0897754564. The cubic root of 1481948928 is about 1140.1038501884.

The spelling of 1481948928 in words is "one billion, four hundred eighty-one million, nine hundred forty-eight thousand, nine hundred twenty-eight".