1328662020 has 192 divisors, whose sum is σ = 4506808320. Its totient is φ = 285700608.

The previous prime is 1328662007. The next prime is 1328662033. The reversal of 1328662020 is 202668231.

It is an interprime number because it is at equal distance from previous prime (1328662007) and next prime (1328662033).

It is a super-3 number, since 3×1328662020³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1332162 + ... + 1333158.

It is an arithmetic number, because the mean of its divisors is an integer number (23472960).

Almost surely, 2^1328662020 is an apocalyptic number.

1328662020 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 1328662020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253404160).

1328662020 is an abundant number, since it is smaller than the sum of its proper divisors (3178146300).

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

1328662020 is a wasteful number, since it uses less digits than its factorization.

1328662020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1328662020 is about 36450.8164517614. The cubic root of 1328662020 is about 1099.3555508896.

The spelling of 1328662020 in words is "one billion, three hundred twenty-eight million, six hundred sixty-two thousand, twenty".