1428259800 has 288 divisors, whose sum is σ = 4939683840. Its totient is φ = 341088000.

The previous prime is 1428259757. The next prime is 1428259823. The reversal of 1428259800 is 89528241.

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 71 ways as a sum of consecutive naturals, for example, 7477705 + ... + 7477895.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2^1428259800 is an apocalyptic number.

1428259800 is a gapful number since it is divisible by the number (10) 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 1428259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920).

1428259800 is an abundant number, since it is smaller than the sum of its proper divisors (3511424040).

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

1428259800 is a wasteful number, since it uses less digits than its factorization.

1428259800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1428259800 is about 37792.3246175728. The cubic root of 1428259800 is about 1126.1659812506.

The spelling of 1428259800 in words is "one billion, four hundred twenty-eight million, two hundred fifty-nine thousand, eight hundred".