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961028928 = 26334711833
BaseRepresentation
bin111001010010000…
…010001101000000
32110222100022212000
4321102002031000
53432010411203
6235210104000
732546416416
oct7122021500
92428308760
10961028928
11453526292
12229a1b000
13124143a92
14918c52b6
15595844a3
hex39482340

961028928 has 112 divisors (see below), whose sum is σ = 2885602560. Its totient is φ = 313500672.

The previous prime is 961028927. The next prime is 961028933. The reversal of 961028928 is 829820169.

961028928 is a `hidden beast` number, since 9 + 610 + 2 + 8 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961028927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75300 + ... + 87132.

Almost surely, 2961028928 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 961028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442801280).

961028928 is an abundant number, since it is smaller than the sum of its proper divisors (1924573632).

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

961028928 is a wasteful number, since it uses less digits than its factorization.

961028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11901 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 961028928 is about 31000.4665771340. The cubic root of 961028928 is about 986.8371420395.

The spelling of 961028928 in words is "nine hundred sixty-one million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4512 5076 6768 9024 10152 11833 13536 20304 23666 27072 35499 40608 47332 70998 81216 94664 106497 141996 189328 212994 283992 319491 378656 425988 556151 567984 638982 757312 851976 1112302 1135968 1277964 1668453 1703952 2224604 2271936 2555928 3336906 3407904 4449208 5005359 5111856 6673812 6815808 8898416 10010718 10223712 13347624 15016077 17796832 20021436 20447424 26695248 30032154 35593664 40042872 53390496 60064308 80085744 106780992 120128616 160171488 240257232 320342976 480514464 961028928