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28862880 = 2535157383
BaseRepresentation
bin110111000011…
…0100110100000
32000022101102120
41232012212200
524342103010
62510344240
7500221224
oct156064640
960271376
1028862880
1115324122
1297bb080
135c97537
143b94784
152801e70
hex1b869a0

28862880 has 96 divisors (see below), whose sum is σ = 91736064. Its totient is φ = 7627776.

The previous prime is 28862857. The next prime is 28862927. The reversal of 28862880 is 8826882.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75169 + ... + 75551.

It is an arithmetic number, because the mean of its divisors is an integer number (955584).

Almost surely, 228862880 is an apocalyptic number.

28862880 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 28862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45868032).

28862880 is an abundant number, since it is smaller than the sum of its proper divisors (62873184).

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

28862880 is a wasteful number, since it uses less digits than its factorization.

28862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 28862880 is about 5372.4184498231. The cubic root of 28862880 is about 306.7466919908.

The spelling of 28862880 in words is "twenty-eight million, eight hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 383 471 480 628 766 785 942 1149 1256 1532 1570 1884 1915 2298 2355 2512 3064 3140 3768 3830 4596 4710 5024 5745 6128 6280 7536 7660 9192 9420 11490 12256 12560 15072 15320 18384 18840 22980 25120 30640 36768 37680 45960 60131 61280 75360 91920 120262 180393 183840 240524 300655 360786 481048 601310 721572 901965 962096 1202620 1443144 1803930 1924192 2405240 2886288 3607860 4810480 5772576 7215720 9620960 14431440 28862880