1428201600 has 384 divisors, whose sum is σ = 5491255680. Its totient is φ = 319488000.

The previous prime is 1428201553. The next prime is 1428201617. The reversal of 1428201600 is 61028241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561400 + ... + 3561800.

It is an arithmetic number, because the mean of its divisors is an integer number (14300145).

Almost surely, 2^1428201600 is an apocalyptic number.

1428201600 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 1428201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745627840).

1428201600 is an abundant number, since it is smaller than the sum of its proper divisors (4063054080).

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

1428201600 is a wasteful number, since it uses less digits than its factorization.

1428201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1428201600 is about 37791.5546121088. The cubic root of 1428201600 is about 1126.1506843720.

Adding to 1428201600 its reverse (61028241), we get a palindrome (1489229841).

The spelling of 1428201600 in words is "one billion, four hundred twenty-eight million, two hundred one thousand, six hundred".