Search a number
-
+
28558440 = 2333531853
BaseRepresentation
bin110110011110…
…0010001101000
31222201220211000
41230330101220
524302332230
62500035000
7464512521
oct154742150
958656730
1028558440
1115136419
129692a60
135bbbab1
143b15848
152791b60
hex1b3c468

28558440 has 128 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 7361280.

The previous prime is 28558399. The next prime is 28558441. The reversal of 28558440 is 4485582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28558395 and 28558404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28558441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33054 + ... + 33906.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 228558440 is an apocalyptic number.

28558440 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 28558440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190400).

28558440 is an abundant number, since it is smaller than the sum of its proper divisors (69822360).

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

28558440 is a wasteful number, since it uses less digits than its factorization.

28558440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 28558440 is about 5344.0097305301. The cubic root of 28558440 is about 305.6643763485.

The spelling of 28558440 in words is "twenty-eight million, five hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 853 930 1080 1116 1240 1395 1674 1706 1860 2232 2559 2790 3348 3412 3720 4185 4265 5118 5580 6696 6824 7677 8370 8530 10236 11160 12795 15354 16740 17060 20472 23031 25590 26443 30708 33480 34120 38385 46062 51180 52886 61416 76770 79329 92124 102360 105772 115155 132215 153540 158658 184248 211544 230310 237987 264430 307080 317316 396645 460620 475974 528860 634632 713961 793290 921240 951948 1057720 1189935 1427922 1586580 1903896 2379870 2855844 3173160 3569805 4759740 5711688 7139610 9519480 14279220 28558440