1284928020 has 36 divisors (see below), whose sum is σ = 3897615540. Its totient is φ = 342647424.

The previous prime is 1284928013. The next prime is 1284928037. The reversal of 1284928020 is 208294821.

It can be written as a sum of positive squares in 2 ways, for example, as 963729936 + 321198084 = 31044^2 + 17922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1284928020² = 3302080033162240800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3569065 + ... + 3569424.

Almost surely, 2^1284928020 is an apocalyptic number.

1284928020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284928020 is an abundant number, since it is smaller than the sum of its proper divisors (2612687520).

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

1284928020 is a wasteful number, since it uses less digits than its factorization.

1284928020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138504 (or 7138499 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1284928020 is about 35845.8926517391. The cubic root of 1284928020 is about 1087.1586689387.

The spelling of 1284928020 in words is "one billion, two hundred eighty-four million, nine hundred twenty-eight thousand, twenty".