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1120728928 = 25113319619
BaseRepresentation
bin100001011001100…
…1111011101100000
32220002211221001211
41002303033131200
54243401311203
6303113035504
736526016164
oct10263173540
92802757054
101120728928
11525693260
122733b5b94
1314b25ab17
14a8bb6ca4
15685ccc6d
hex42ccf760

1120728928 has 48 divisors (see below), whose sum is σ = 2414543040. Its totient is φ = 507830400.

The previous prime is 1120728919. The next prime is 1120728943. The reversal of 1120728928 is 8298270211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111703 + ... + 121321.

It is an arithmetic number, because the mean of its divisors is an integer number (50302980).

Almost surely, 21120728928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207271520).

1120728928 is an abundant number, since it is smaller than the sum of its proper divisors (1293814112).

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

1120728928 is a wasteful number, since it uses less digits than its factorization.

1120728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 1120728928 is about 33477.2897349830. The cubic root of 1120728928 is about 1038.7240664130.

The spelling of 1120728928 in words is "one billion, one hundred twenty million, seven hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 9619 10592 14564 19238 29128 38476 58256 76952 105809 116512 153904 211618 307808 423236 846472 1692944 3183889 3385888 6367778 12735556 25471112 35022779 50942224 70045558 101884448 140091116 280182232 560364464 1120728928