1428776000 has 56 divisors (see below), whose sum is σ = 3538383576. Its totient is φ = 571507200.

The previous prime is 1428775987. The next prime is 1428776009. The reversal of 1428776000 is 6778241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 149426176 + 1279349824 = 12224^2 + 35768^2 .

It is not an unprimeable number, because it can be changed into a prime (1428776009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81299 + ... + 97298.

It is an arithmetic number, because the mean of its divisors is an integer number (63185421).

Almost surely, 2^1428776000 is an apocalyptic number.

1428776000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428776000 is an abundant number, since it is smaller than the sum of its proper divisors (2109607576).

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

1428776000 is an equidigital number, since it uses as much as digits as its factorization.

1428776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178624 (or 178604 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 1428776000 is about 37799.1534296735. The cubic root of 1428776000 is about 1126.3016374432.

It can be divided in two parts, 142877 and 6000, that added together give a cube (148877 = 53³).

The spelling of 1428776000 in words is "one billion, four hundred twenty-eight million, seven hundred seventy-six thousand".