1428969600 has 480 divisors, whose sum is σ = 5452078500. Its totient is φ = 368271360.

The previous prime is 1428969589. The next prime is 1428969673. The reversal of 1428969600 is 69698241.

It is a happy number.

1428969600 is a `hidden beast` number, since 14 + 28 + 9 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 527529024 + 901440576 = 22968^2 + 30024^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 9590326 + ... + 9590474.

Almost surely, 2^1428969600 is an apocalyptic number.

1428969600 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 1428969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726039250).

1428969600 is an abundant number, since it is smaller than the sum of its proper divisors (4023108900).

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

1428969600 is a wasteful number, since it uses less digits than its factorization.

1428969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1428969600 is about 37801.7142468434. The cubic root of 1428969600 is about 1126.3525066601.

The spelling of 1428969600 in words is "one billion, four hundred twenty-eight million, nine hundred sixty-nine thousand, six hundred".