1901482128 has 400 divisors, whose sum is σ = 7078046976. Its totient is φ = 479001600.

The previous prime is 1901482111. The next prime is 1901482153. The reversal of 1901482128 is 8212841091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1901482092 and 1901482101.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712178 + ... + 2712878.

Almost surely, 2^1901482128 is an apocalyptic number.

1901482128 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 1901482128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539023488).

1901482128 is an abundant number, since it is smaller than the sum of its proper divisors (5176564848).

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

1901482128 is a wasteful number, since it uses less digits than its factorization.

1901482128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1901482128 is about 43605.9872953245. The cubic root of 1901482128 is about 1238.8842999442.

The spelling of 1901482128 in words is "one billion, nine hundred one million, four hundred eighty-two thousand, one hundred twenty-eight".