1428429600 has 288 divisors, whose sum is σ = 5564643840. Its totient is φ = 351544320.

The previous prime is 1428429581. The next prime is 1428429623. The reversal of 1428429600 is 69248241.

1428429600 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 42 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1428429600² = 4080822244312320000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 278257 + ... + 283343.

It is an arithmetic number, because the mean of its divisors is an integer number (19321680).

Almost surely, 2^1428429600 is an apocalyptic number.

1428429600 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 1428429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782321920).

1428429600 is an abundant number, since it is smaller than the sum of its proper divisors (4136214240).

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

1428429600 is a wasteful number, since it uses less digits than its factorization.

1428429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1428429600 is about 37794.5710387087. The cubic root of 1428429600 is about 1126.2106079136.

The spelling of 1428429600 in words is "one billion, four hundred twenty-eight million, four hundred twenty-nine thousand, six hundred".