1028148720 has 80 divisors (see below), whose sum is σ = 3198357792. Its totient is φ = 273218560.

The previous prime is 1028148707. The next prime is 1028148721. The reversal of 1028148720 is 278418201.

It is a happy number.

1028148720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028148721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63010 + ... + 77630.

Almost surely, 2^1028148720 is an apocalyptic number.

1028148720 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 1028148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599178896).

1028148720 is an abundant number, since it is smaller than the sum of its proper divisors (2170209072).

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

1028148720 is a wasteful number, since it uses less digits than its factorization.

1028148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1028148720 is about 32064.7582245680. The cubic root of 1028148720 is about 1009.2962191834.

The spelling of 1028148720 in words is "one billion, twenty-eight million, one hundred forty-eight thousand, seven hundred twenty".