1028952720 has 200 divisors, whose sum is σ = 3612753144. Its totient is φ = 271392768.

The previous prime is 1028952709. The next prime is 1028952773. The reversal of 1028952720 is 272598201.

1028952720 is a `hidden beast` number, since 102 + 8 + 9 + 527 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 1028869776 = 288^2 + 32076^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 627742 + ... + 629378.

Almost surely, 2^1028952720 is an apocalyptic number.

1028952720 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 1028952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806376572).

1028952720 is an abundant number, since it is smaller than the sum of its proper divisors (2583800424).

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

1028952720 is a wasteful number, since it uses less digits than its factorization.

1028952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1028952720 is about 32077.2929032361. The cubic root of 1028952720 is about 1009.5592364932.

The spelling of 1028952720 in words is "one billion, twenty-eight million, nine hundred fifty-two thousand, seven hundred twenty".