1020628320 has 384 divisors, whose sum is σ = 3723148800. Its totient is φ = 233275392.

The previous prime is 1020628319. The next prime is 1020628321. The reversal of 1020628320 is 238260201.

1020628320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020628319) and next prime (1020628321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020628321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4496047 + ... + 4496273.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^1020628320 is an apocalyptic number.

1020628320 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 1020628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

1020628320 is an abundant number, since it is smaller than the sum of its proper divisors (2702520480).

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

1020628320 is a wasteful number, since it uses less digits than its factorization.

1020628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1020628320 is about 31947.2740621168. The cubic root of 1020628320 is about 1006.8293603300.

Adding to 1020628320 its reverse (238260201), we get a palindrome (1258888521).

The spelling of 1020628320 in words is "one billion, twenty million, six hundred twenty-eight thousand, three hundred twenty".