1901217728 has 56 divisors (see below), whose sum is σ = 3961333200. Its totient is φ = 904071168.

The previous prime is 1901217709. The next prime is 1901217737. The reversal of 1901217728 is 8277121091.

It is a super-2 number, since 2×1901217728² = 7229257698522963968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1901217691 and 1901217700.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116708 + ... + 131996.

Almost surely, 2^1901217728 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 1901217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980666600).

1901217728 is an abundant number, since it is smaller than the sum of its proper divisors (2060115472).

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

1901217728 is a wasteful number, since it uses less digits than its factorization.

1901217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 38.

The square root of 1901217728 is about 43602.9554961587. The cubic root of 1901217728 is about 1238.8268752319.

The spelling of 1901217728 in words is "one billion, nine hundred one million, two hundred seventeen thousand, seven hundred twenty-eight".