1428531600 has 120 divisors (see below), whose sum is σ = 4653853920. Its totient is φ = 374466560.

The previous prime is 1428531581. The next prime is 1428531647. The reversal of 1428531600 is 61358241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60712 + ... + 80888.

It is an arithmetic number, because the mean of its divisors is an integer number (38782116).

Almost surely, 2^1428531600 is an apocalyptic number.

1428531600 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 1428531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326926960).

1428531600 is an abundant number, since it is smaller than the sum of its proper divisors (3225322320).

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

1428531600 is a wasteful number, since it uses less digits than its factorization.

1428531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1428531600 is about 37795.9204147749. The cubic root of 1428531600 is about 1126.2374137494.

Adding to 1428531600 its reverse (61358241), we get a palindrome (1489889841).

It can be divided in two parts, 142853 and 1600, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 1428531600 in words is "one billion, four hundred twenty-eight million, five hundred thirty-one thousand, six hundred".