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10528828335 = 345236471747
BaseRepresentation
bin10011100111001000…
…10010101110101111
31000011202211220020000
421303210102232233
5133030340001320
64500433155343
7521625364344
oct116344225657
930152756200
1010528828335
114513281623
12205a0bbb53
13cba42714c
1471c4a07cb
1541951cc90
hex273912baf

10528828335 has 80 divisors (see below), whose sum is σ = 19736234496. Its totient is φ = 5359856832.

The previous prime is 10528828291. The next prime is 10528828337. The reversal of 10528828335 is 53382882501.

10528828335 is a `hidden beast` number, since 10 + 5 + 288 + 28 + 335 = 666.

It is not a de Polignac number, because 10528828335 - 213 = 10528820143 is a prime.

It is a super-2 number, since 2×105288283352 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528828337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6025932 + ... + 6027678.

Almost surely, 210528828335 is an apocalyptic number.

10528828335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10528828335 is a deficient number, since it is larger than the sum of its proper divisors (9207406161).

10528828335 is a wasteful number, since it uses less digits than its factorization.

10528828335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10528828335 in words is "ten billion, five hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 345 405 621 647 1035 1747 1863 1941 3105 3235 5241 5823 8735 9315 9705 14881 15723 17469 26205 29115 40181 44643 47169 52407 74405 78615 87345 120543 133929 141507 200905 223215 235845 262035 361629 401787 602715 669645 707535 1084887 1130309 1205361 1808145 2008935 3254661 3390927 5424435 5651545 6026805 10172781 16273305 16954635 25997107 30518343 50863905 77991321 91555029 129985535 152591715 233973963 389956605 457775145 701921889 1169869815 2105765667 3509609445 10528828335