1028608272 has 90 divisors (see below), whose sum is σ = 2974930686. Its totient is φ = 331764480.

The previous prime is 1028608267. The next prime is 1028608297. The reversal of 1028608272 is 2728068201.

It is a happy number.

1028608272 is a `hidden beast` number, since 1 + 0 + 28 + 608 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 639887616 + 388720656 = 25296^2 + 19716^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134668 + ... + 142100.

Almost surely, 2^1028608272 is an apocalyptic number.

1028608272 is a gapful number since it is divisible by the number (12) 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 1028608272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487465343).

1028608272 is an abundant number, since it is smaller than the sum of its proper divisors (1946322414).

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

1028608272 is a wasteful number, since it uses less digits than its factorization.

1028608272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1028608272 is about 32071.9234222084. The cubic root of 1028608272 is about 1009.4465719482.

The spelling of 1028608272 in words is "one billion, twenty-eight million, six hundred eight thousand, two hundred seventy-two".