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28777248 = 2533191753
BaseRepresentation
bin110110111000…
…1101100100000
32000011000222000
41231301230200
524331332443
62504444000
7466413453
oct155615440
960130860
1028777248
1115275855
129779600
135c67576
143b7149a
1527d68d3
hex1b71b20

28777248 has 96 divisors (see below), whose sum is σ = 88401600. Its totient is φ = 9082368.

The previous prime is 28777247. The next prime is 28777249. The reversal of 28777248 is 84277782.

It is an interprime number because it is at equal distance from previous prime (28777247) and next prime (28777249).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28777241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15540 + ... + 17292.

It is an arithmetic number, because the mean of its divisors is an integer number (920850).

Almost surely, 228777248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44200800).

28777248 is an abundant number, since it is smaller than the sum of its proper divisors (59624352).

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

28777248 is a wasteful number, since it uses less digits than its factorization.

28777248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1777 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 28777248 is about 5364.4429347324. The cubic root of 28777248 is about 306.4430337655.

The spelling of 28777248 in words is "twenty-eight million, seven hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1753 1824 2052 2736 3506 4104 5259 5472 7012 8208 10518 14024 15777 16416 21036 28048 31554 33307 42072 47331 56096 63108 66614 84144 94662 99921 126216 133228 168288 189324 199842 252432 266456 299763 378648 399684 504864 532912 599526 757296 799368 899289 1065824 1199052 1514592 1598736 1798578 2398104 3197472 3597156 4796208 7194312 9592416 14388624 28777248