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28873600 = 275271289
BaseRepresentation
bin110111000100…
…1001110000000
32000022221010121
41232021032000
524342423400
62510510024
7500264410
oct156111600
960287117
1028873600
1115331188
129805314
135c9c392
143b98640
15280521a
hex1b89380

28873600 has 96 divisors (see below), whose sum is σ = 81579600. Its totient is φ = 9891840.

The previous prime is 28873591. The next prime is 28873601. The reversal of 28873600 is 637882.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28873601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21756 + ... + 23044.

Almost surely, 228873600 is an apocalyptic number.

28873600 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 28873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40789800).

28873600 is an abundant number, since it is smaller than the sum of its proper divisors (52706000).

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

28873600 is a wasteful number, since it uses less digits than its factorization.

28873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 28873600 is about 5373.4160456827. The cubic root of 28873600 is about 306.7846636869.

The spelling of 28873600 in words is "twenty-eight million, eight hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1289 1400 1600 2240 2578 2800 3200 4480 5156 5600 6445 9023 10312 11200 12890 18046 20624 22400 25780 32225 36092 41248 45115 51560 64450 72184 82496 90230 103120 128900 144368 164992 180460 206240 225575 257800 288736 360920 412480 451150 515600 577472 721840 824960 902300 1031200 1154944 1443680 1804600 2062400 2887360 3609200 4124800 5774720 7218400 14436800 28873600