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28856448 = 273237677
BaseRepresentation
bin110111000010…
…1000010000000
32000022001121100
41232011002000
524341401243
62510254400
7500163405
oct156050200
960261540
1028856448
111531a305
1297b7400
135c9462a
143b922ac
1528000d3
hex1b85080

28856448 has 96 divisors (see below), whose sum is σ = 85407660. Its totient is φ = 9345024.

The previous prime is 28856441. The next prime is 28856461. The reversal of 28856448 is 84465882.

28856448 is a `hidden beast` number, since 2 + 88 + 564 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 8714304 = 4488^2 + 2952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28856441) 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, 42286 + ... + 42962.

Almost surely, 228856448 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 28856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42703830).

28856448 is an abundant number, since it is smaller than the sum of its proper divisors (56551212).

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

28856448 is a wasteful number, since it uses less digits than its factorization.

28856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 28856448 is about 5371.8198033813. The cubic root of 28856448 is about 306.7239044601.

It can be divided in two parts, 288 and 56448, that multiplied together give a square (16257024 = 40322).

The spelling of 28856448 in words is "twenty-eight million, eight hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 677 888 1152 1184 1332 1354 1776 2031 2368 2664 2708 3552 4062 4736 5328 5416 6093 7104 8124 10656 10832 12186 14208 16248 21312 21664 24372 25049 32496 42624 43328 48744 50098 64992 75147 86656 97488 100196 129984 150294 194976 200392 225441 259968 300588 389952 400784 450882 601176 779904 801568 901764 1202352 1603136 1803528 2404704 3206272 3607056 4809408 7214112 9618816 14428224 28856448