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28428836760 = 2333573360589
BaseRepresentation
bin11010011110011111…
…011001111110011000
32201101020212112121000
4122132133121332120
5431210240234020
621020544345000
72024331061002
oct323637317630
981336775530
1028428836760
1111069378915
125614915160
1328b0a179cc
1415398dd372
15b15c24090
hex69e7d9f98

28428836760 has 128 divisors (see below), whose sum is σ = 96061176000. Its totient is φ = 7477152768.

The previous prime is 28428836759. The next prime is 28428836767. The reversal of 28428836760 is 6763882482.

28428836760 is a `hidden beast` number, since 28 + 428 + 83 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28428836697 and 28428836706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28428836767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101455 + ... + 259134.

Almost surely, 228428836760 is an apocalyptic number.

28428836760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28428836760 is an abundant number, since it is smaller than the sum of its proper divisors (67632339240).

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

28428836760 is a wasteful number, since it uses less digits than its factorization.

28428836760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360682 (or 360672 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28428836760 in words is "twenty-eight billion, four hundred twenty-eight million, eight hundred thirty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 6570 7884 8760 9855 13140 15768 19710 26280 39420 78840 360589 721178 1081767 1442356 1802945 2163534 2884712 3245301 3605890 4327068 5408835 6490602 7211780 8654136 9735903 10817670 12981204 14423560 16226505 19471806 21635340 25962408 26322997 32453010 38943612 43270680 48679515 52645994 64906020 77887224 78968991 97359030 105291988 129812040 131614985 157937982 194718060 210583976 236906973 263229970 315875964 389436120 394844955 473813946 526459940 631751928 710720919 789689910 947627892 1052919880 1184534865 1421441838 1579379820 1895255784 2369069730 2842883676 3158759640 3553604595 4738139460 5685767352 7107209190 9476278920 14214418380 28428836760