1027028000 has 48 divisors (see below), whose sum is σ = 2523417624. Its totient is φ = 410809600.

The previous prime is 1027027999. The next prime is 1027028017. The reversal of 1027028000 is 8207201.

It can be written as a sum of positive squares in 4 ways, for example, as 291316624 + 735711376 = 17068^2 + 27124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124379 + ... + 132378.

Almost surely, 2^1027028000 is an apocalyptic number.

1027028000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027028000 is an abundant number, since it is smaller than the sum of its proper divisors (1496389624).

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

1027028000 is an equidigital number, since it uses as much as digits as its factorization.

1027028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256782 (or 256764 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1027028000 is about 32047.2775754821. The cubic root of 1027028000 is about 1008.9293624956.

The spelling of 1027028000 in words is "one billion, twenty-seven million, twenty-eight thousand".