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28461358560 = 2535193120763
BaseRepresentation
bin11010100000011011…
…011101110111100000
32201110112001211010010
4122200123131313200
5431242101433220
621024105404520
72025204361515
oct324033356740
981415054103
1028461358560
1111085770a38
125623799740
1328b769378b
14153dd6730c
15b189ea1e0
hex6a06ddde0

28461358560 has 96 divisors (see below), whose sum is σ = 94371903360. Its totient is φ = 7190235648.

The previous prime is 28461358543. The next prime is 28461358567. The reversal of 28461358560 is 6585316482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28461358567) 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, 1551262 + ... + 1569501.

It is an arithmetic number, because the mean of its divisors is an integer number (983040660).

Almost surely, 228461358560 is an apocalyptic number.

28461358560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28461358560 is an abundant number, since it is smaller than the sum of its proper divisors (65910544800).

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

28461358560 is a wasteful number, since it uses less digits than its factorization.

28461358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120800 (or 3120792 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 28461358560 in words is "twenty-eight billion, four hundred sixty-one million, three hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 3120763 6241526 9362289 12483052 15603815 18724578 24966104 31207630 37449156 46811445 49932208 59294497 62415260 74898312 93622890 99864416 118588994 124830520 149796624 177883491 187245780 237177988 249661040 296472485 299593248 355766982 374491560 474355976 499322080 592944970 711533964 748983120 889417455 948711952 1185889940 1423067928 1497966240 1778834910 1897423904 2371779880 2846135856 3557669820 4743559760 5692271712 7115339640 9487119520 14230679280 28461358560