1428529600 has 168 divisors, whose sum is σ = 3682764288. Its totient is φ = 544742400.

The previous prime is 1428529591. The next prime is 1428529621. The reversal of 1428529600 is 69258241.

It is a self number, because there is not a number n which added to its sum of digits gives 1428529600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4116627 + ... + 4116973.

It is an arithmetic number, because the mean of its divisors is an integer number (21921216).

Almost surely, 2^1428529600 is an apocalyptic number.

1428529600 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 1428529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841382144).

1428529600 is an abundant number, since it is smaller than the sum of its proper divisors (2254234688).

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

1428529600 is a wasteful number, since it uses less digits than its factorization.

1428529600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1428529600 is about 37795.8939568837. The cubic root of 1428529600 is about 1126.2368881570.

The spelling of 1428529600 in words is "one billion, four hundred twenty-eight million, five hundred twenty-nine thousand, six hundred".