1028536272 has 240 divisors, whose sum is σ = 3240120000. Its totient is φ = 311496192.

The previous prime is 1028536237. The next prime is 1028536277. The reversal of 1028536272 is 2726358201.

1028536272 is a `hidden beast` number, since 1 + 0 + 28 + 5 + 3 + 627 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028536277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6902854 + ... + 6903002.

It is an arithmetic number, because the mean of its divisors is an integer number (13500500).

Almost surely, 2^1028536272 is an apocalyptic number.

1028536272 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 1028536272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620060000).

1028536272 is an abundant number, since it is smaller than the sum of its proper divisors (2211583728).

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

1028536272 is a wasteful number, since it uses less digits than its factorization.

1028536272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1028536272 is about 32070.8009254524. The cubic root of 1028536272 is about 1009.4230184890.

The spelling of 1028536272 in words is "one billion, twenty-eight million, five hundred thirty-six thousand, two hundred seventy-two".