1028761380 has 144 divisors (see below), whose sum is σ = 3205762560. Its totient is φ = 266920704.

The previous prime is 1028761343. The next prime is 1028761417. The reversal of 1028761380 is 831678201.

1028761380 is a `hidden beast` number, since 10 + 28 + 7 + 613 + 8 + 0 = 666.

1028761380 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 (1028761343) and next prime (1028761417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2343201 + ... + 2343639.

It is an arithmetic number, because the mean of its divisors is an integer number (22262240).

Almost surely, 2^1028761380 is an apocalyptic number.

1028761380 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 1028761380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602881280).

1028761380 is an abundant number, since it is smaller than the sum of its proper divisors (2177001180).

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

1028761380 is a wasteful number, since it uses less digits than its factorization.

1028761380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1028761380 is about 32074.3102809710. The cubic root of 1028761380 is about 1009.4966547258.

The spelling of 1028761380 in words is "one billion, twenty-eight million, seven hundred sixty-one thousand, three hundred eighty".