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28853400 = 23352192531
BaseRepresentation
bin110111000010…
…0010010011000
32000021220102110
41232010102120
524341302100
62510232320
7500151462
oct156042230
960256373
1028853400
1115317a94
1297b56a0
135c93124
143b91132
1527ee250
hex1b84498

28853400 has 96 divisors (see below), whose sum is σ = 94190400. Its totient is φ = 7286400.

The previous prime is 28853399. The next prime is 28853401. The reversal of 28853400 is 435882.

It is an interprime number because it is at equal distance from previous prime (28853399) and next prime (28853401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28853401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10135 + ... + 12665.

It is an arithmetic number, because the mean of its divisors is an integer number (981150).

Almost surely, 228853400 is an apocalyptic number.

28853400 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 28853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47095200).

28853400 is an abundant number, since it is smaller than the sum of its proper divisors (65337000).

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

28853400 is a wasteful number, since it uses less digits than its factorization.

28853400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28853400 is about 5371.5360931488. The cubic root of 28853400 is about 306.7131047088.

The spelling of 28853400 in words is "twenty-eight million, eight hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2531 2850 3800 5062 5700 7593 10124 11400 12655 15186 20248 25310 30372 37965 48089 50620 60744 63275 75930 96178 101240 126550 144267 151860 189825 192356 240445 253100 288534 303720 379650 384712 480890 506200 577068 721335 759300 961780 1154136 1202225 1442670 1518600 1923560 2404450 2885340 3606675 4808900 5770680 7213350 9617800 14426700 28853400