1020728000 has 56 divisors (see below), whose sum is σ = 2527852704. Its totient is φ = 408288000.

The previous prime is 1020727997. The next prime is 1020728003. The reversal of 1020728000 is 8270201.

It is an interprime number because it is at equal distance from previous prime (1020727997) and next prime (1020728003).

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

It is not an unprimeable number, because it can be changed into a prime (1020728003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55796 + ... + 71795.

Almost surely, 2^1020728000 is an apocalyptic number.

1020728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020728000 is an abundant number, since it is smaller than the sum of its proper divisors (1507124704).

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

1020728000 is an equidigital number, since it uses as much as digits as its factorization.

1020728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127618 (or 127598 counting only the distinct ones).

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

The square root of 1020728000 is about 31948.8340945331. The cubic root of 1020728000 is about 1006.8621367030.

Adding to 1020728000 its reverse (8270201), we get a palindrome (1028998201).

The spelling of 1020728000 in words is "one billion, twenty million, seven hundred twenty-eight thousand".