1021428000 has 288 divisors, whose sum is σ = 3840585840. Its totient is φ = 256204800.

The previous prime is 1021427969. The next prime is 1021428007. The reversal of 1021428000 is 8241201.

It can be written as a sum of positive squares in 8 ways, for example, as 116380944 + 905047056 = 10788^2 + 30084^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1021428007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611166 + ... + 612834.

Almost surely, 2^1021428000 is an apocalyptic number.

1021428000 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 1021428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920292920).

1021428000 is an abundant number, since it is smaller than the sum of its proper divisors (2819157840).

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

1021428000 is a wasteful number, since it uses less digits than its factorization.

1021428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021428000 is about 31959.7872333343. The cubic root of 1021428000 is about 1007.0922477749.

Adding to 1021428000 its reverse (8241201), we get a palindrome (1029669201).

The spelling of 1021428000 in words is "one billion, twenty-one million, four hundred twenty-eight thousand".