1428312600 has 576 divisors, whose sum is σ = 5849625600. Its totient is φ = 307584000.

The previous prime is 1428312541. The next prime is 1428312607. The reversal of 1428312600 is 62138241.

1428312600 is a `hidden beast` number, since 1 + 4 + 28 + 31 + 2 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428312607) 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 143 ways as a sum of consecutive naturals, for example, 7979311 + ... + 7979489.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^1428312600 is an apocalyptic number.

1428312600 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 1428312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

1428312600 is an abundant number, since it is smaller than the sum of its proper divisors (4421313000).

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

1428312600 is a wasteful number, since it uses less digits than its factorization.

1428312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1428312600 is about 37793.0231656585. The cubic root of 1428312600 is about 1126.1798584717.

It can be divided in two parts, 1428 and 312600, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 1428312600 in words is "one billion, four hundred twenty-eight million, three hundred twelve thousand, six hundred".