1415920128 has 320 divisors, whose sum is σ = 4713984000. Its totient is φ = 368492544.

The previous prime is 1415920097. The next prime is 1415920139. The reversal of 1415920128 is 8210295141.

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 31 ways as a sum of consecutive naturals, for example, 5924233 + ... + 5924471.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^1415920128 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 1415920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356992000).

1415920128 is an abundant number, since it is smaller than the sum of its proper divisors (3298063872).

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

1415920128 is a wasteful number, since it uses less digits than its factorization.

1415920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1415920128 is about 37628.7141422611. The cubic root of 1415920128 is about 1122.9133674973.

The spelling of 1415920128 in words is "one billion, four hundred fifteen million, nine hundred twenty thousand, one hundred twenty-eight".