1428094800 has 300 divisors, whose sum is σ = 5592650976. Its totient is φ = 346118400.

The previous prime is 1428094793. The next prime is 1428094813. The reversal of 1428094800 is 84908241.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 354397 + ... + 358403.

Almost surely, 2^1428094800 is an apocalyptic number.

1428094800 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 1428094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796325488).

1428094800 is an abundant number, since it is smaller than the sum of its proper divisors (4164556176).

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

1428094800 is a wasteful number, since it uses less digits than its factorization.

1428094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1428094800 is about 37790.1415715792. The cubic root of 1428094800 is about 1126.1226127302.

The spelling of 1428094800 in words is "one billion, four hundred twenty-eight million, ninety-four thousand, eight hundred".