1428668241 has 64 divisors (see below), whose sum is σ = 2566287360. Its totient is φ = 682755840.

The previous prime is 1428668233. The next prime is 1428668261.

1428668241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1428668241 - 2³ = 1428668233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1428668193 and 1428668202.

It is not an unprimeable number, because it can be changed into a prime (1428668261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167556 + ... + 1168778.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^1428668241 is an apocalyptic number.

1428668241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428668241 is a deficient number, since it is larger than the sum of its proper divisors (1137619119).

1428668241 is a wasteful number, since it uses less digits than its factorization.

1428668241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646.

The product of its digits is 147456, while the sum is 42.

The square root of 1428668241 is about 37797.7279872746. The cubic root of 1428668241 is about 1126.2733213205.

The spelling of 1428668241 in words is "one billion, four hundred twenty-eight million, six hundred sixty-eight thousand, two hundred forty-one".