1428088320 has 400 divisors, whose sum is σ = 5240477088. Its totient is φ = 371589120.

The previous prime is 1428088303. The next prime is 1428088357. The reversal of 1428088320 is 238808241.

It is a happy number.

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

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 39 ways as a sum of consecutive naturals, for example, 14722512 + ... + 14722608.

Almost surely, 2^1428088320 is an apocalyptic number.

1428088320 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 1428088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620238544).

1428088320 is an abundant number, since it is smaller than the sum of its proper divisors (3812388768).

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

1428088320 is an frugal number, since it uses more digits than its factorization.

1428088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1428088320 is about 37790.0558348357. The cubic root of 1428088320 is about 1126.1209094619.

The spelling of 1428088320 in words is "one billion, four hundred twenty-eight million, eighty-eight thousand, three hundred twenty".