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28842960 = 2435472557
BaseRepresentation
bin110111000000…
…1101111010000
32000021101002210
41232001233100
524340433320
62510112120
7500106156
oct156015720
960241083
1028842960
1115310163
1297ab640
135c8b453
143b8b3d6
1527eb0e0
hex1b81bd0

28842960 has 80 divisors (see below), whose sum is σ = 91351296. Its totient is φ = 7524864.

The previous prime is 28842959. The next prime is 28842977. The reversal of 28842960 is 6924882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10002 + ... + 12558.

Almost surely, 228842960 is an apocalyptic number.

28842960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45675648).

28842960 is an abundant number, since it is smaller than the sum of its proper divisors (62508336).

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

28842960 is a wasteful number, since it uses less digits than its factorization.

28842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28842960 is about 5370.5642161695. The cubic root of 28842960 is about 306.6761076699.

The spelling of 28842960 in words is "twenty-eight million, eight hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2557 2820 3760 5114 5640 7671 10228 11280 12785 15342 20456 25570 30684 38355 40912 51140 61368 76710 102280 120179 122736 153420 204560 240358 306840 360537 480716 600895 613680 721074 961432 1201790 1442148 1802685 1922864 2403580 2884296 3605370 4807160 5768592 7210740 9614320 14421480 28842960