1428586272 has 72 divisors (see below), whose sum is σ = 4080470940. Its totient is φ = 474094080.

The previous prime is 1428586249. The next prime is 1428586273. The reversal of 1428586272 is 2726858241.

1428586272 is a `hidden beast` number, since 1 + 42 + 8 + 586 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1390096656 + 38489616 = 37284^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1428586273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55122 + ... + 76782.

Almost surely, 2^1428586272 is an apocalyptic number.

1428586272 is a gapful number since it is divisible by the number (12) 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 1428586272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040235470).

1428586272 is an abundant number, since it is smaller than the sum of its proper divisors (2651884668).

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

1428586272 is a wasteful number, since it uses less digits than its factorization.

1428586272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906 (or 21895 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1428586272 is about 37796.6436605157. The cubic root of 1428586272 is about 1126.2517811521.

The spelling of 1428586272 in words is "one billion, four hundred twenty-eight million, five hundred eighty-six thousand, two hundred seventy-two".