1428401304 has 320 divisors, whose sum is σ = 4704480000. Its totient is φ = 400308480.

The previous prime is 1428401297. The next prime is 1428401309. The reversal of 1428401304 is 4031048241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428401309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7177797 + ... + 7177995.

It is an arithmetic number, because the mean of its divisors is an integer number (14701500).

Almost surely, 2^1428401304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352240000).

1428401304 is an abundant number, since it is smaller than the sum of its proper divisors (3276078696).

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

1428401304 is a wasteful number, since it uses less digits than its factorization.

1428401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1428401304 is about 37794.1966973767. The cubic root of 1428401304 is about 1126.2031714333.

Adding to 1428401304 its reverse (4031048241), we get a palindrome (5459449545).

The spelling of 1428401304 in words is "one billion, four hundred twenty-eight million, four hundred one thousand, three hundred four".