1427328000 has 704 divisors, whose sum is σ = 6131174400. Its totient is φ = 320716800.

The previous prime is 1427327989. The next prime is 1427328029. The reversal of 1427328000 is 8237241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191971 + ... + 24192029.

Almost surely, 2^1427328000 is an apocalyptic number.

1427328000 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 1427328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065587200).

1427328000 is an abundant number, since it is smaller than the sum of its proper divisors (4703846400).

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

1427328000 is an equidigital number, since it uses as much as digits as its factorization.

1427328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1427328000 is about 37779.9947061934. The cubic root of 1427328000 is about 1125.9210235415.

The spelling of 1427328000 in words is "one billion, four hundred twenty-seven million, three hundred twenty-eight thousand".