1428558241 has 24 divisors (see below), whose sum is σ = 1631995200. Its totient is φ = 1238664000.

The previous prime is 1428558233. The next prime is 1428558283.

1428558241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1428558241 - 2³ = 1428558233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1428558194 and 1428558203.

It is not an unprimeable number, because it can be changed into a prime (1428568241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3253900 + ... + 3254338.

It is an arithmetic number, because the mean of its divisors is an integer number (67999800).

Almost surely, 2^1428558241 is an apocalyptic number.

1428558241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428558241 is a deficient number, since it is larger than the sum of its proper divisors (203436959).

1428558241 is a wasteful number, since it uses less digits than its factorization.

1428558241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 580 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The square root of 1428558241 is about 37796.2728453481. The cubic root of 1428558241 is about 1126.2444148556.

The spelling of 1428558241 in words is "one billion, four hundred twenty-eight million, five hundred fifty-eight thousand, two hundred forty-one".