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28879800 = 23352127379
BaseRepresentation
bin110111000101…
…0101110111000
32000100020122020
41232022232320
524343123200
62510554440
7500321445
oct156125670
960306566
1028879800
1115335904
129808a20
135ca2151
143b9a9cc
152806ea0
hex1b8abb8

28879800 has 96 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 7620480.

The previous prime is 28879783. The next prime is 28879831. The reversal of 28879800 is 897882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76011 + ... + 76389.

It is an arithmetic number, because the mean of its divisors is an integer number (942400).

Almost surely, 228879800 is an apocalyptic number.

28879800 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 28879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

28879800 is an abundant number, since it is smaller than the sum of its proper divisors (61590600).

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

28879800 is a wasteful number, since it uses less digits than its factorization.

28879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 28879800 is about 5373.9929289124. The cubic root of 28879800 is about 306.8066206393.

The spelling of 28879800 in words is "twenty-eight million, eight hundred seventy-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 379 381 508 600 635 758 762 1016 1137 1270 1516 1524 1895 1905 2274 2540 3032 3048 3175 3790 3810 4548 5080 5685 6350 7580 7620 9096 9475 9525 11370 12700 15160 15240 18950 19050 22740 25400 28425 37900 38100 45480 48133 56850 75800 76200 96266 113700 144399 192532 227400 240665 288798 385064 481330 577596 721995 962660 1155192 1203325 1443990 1925320 2406650 2887980 3609975 4813300 5775960 7219950 9626600 14439900 28879800