1428307200 has 324 divisors, whose sum is σ = 5172213228. Its totient is φ = 376012800.

The previous prime is 1428307193. The next prime is 1428307211. The reversal of 1428307200 is 27038241.

1428307200 is a `hidden beast` number, since 1 + 428 + 30 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 257025024 + 1171282176 = 16032^2 + 34224^2 .

It is a super-2 number, since 2×1428307200² = 4080122915143680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7891110 + ... + 7891290.

Almost surely, 2^1428307200 is an apocalyptic number.

1428307200 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 1428307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586106614).

1428307200 is an abundant number, since it is smaller than the sum of its proper divisors (3743906028).

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

1428307200 is a wasteful number, since it uses less digits than its factorization.

1428307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1428307200 is about 37792.9517238334. The cubic root of 1428307200 is about 1126.1784392262.

The spelling of 1428307200 in words is "one billion, four hundred twenty-eight million, three hundred seven thousand, two hundred".