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28823000 = 2353193741
BaseRepresentation
bin110110111110…
…0110111011000
32000020100201112
41231330313120
524334314000
62505435452
7466664033
oct155746730
960210645
1028823000
11152a7168
12979bb88
135c8233b
143b8401a
1527e5235
hex1b7cdd8

28823000 has 128 divisors (see below), whose sum is σ = 74692800. Its totient is φ = 10368000.

The previous prime is 28822999. The next prime is 28823009. The reversal of 28823000 is 32882.

It is a super-3 number, since 3×288230003 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28823009) 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, 702980 + ... + 703020.

Almost surely, 228823000 is an apocalyptic number.

28823000 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 28823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).

28823000 is an abundant number, since it is smaller than the sum of its proper divisors (45869800).

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

28823000 is a wasteful number, since it uses less digits than its factorization.

28823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 28823000 is about 5368.7056168131. The cubic root of 28823000 is about 306.6053490091.

Adding to 28823000 its reverse (32882), we get a palindrome (28855882).

The spelling of 28823000 in words is "twenty-eight million, eight hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 37 38 40 41 50 74 76 82 95 100 125 148 152 164 185 190 200 205 250 296 328 370 380 410 475 500 703 740 760 779 820 925 950 1000 1025 1406 1480 1517 1558 1640 1850 1900 2050 2375 2812 3034 3116 3515 3700 3800 3895 4100 4625 4750 5125 5624 6068 6232 7030 7400 7585 7790 8200 9250 9500 10250 12136 14060 15170 15580 17575 18500 19000 19475 20500 28120 28823 30340 31160 35150 37000 37925 38950 41000 57646 60680 70300 75850 77900 87875 97375 115292 140600 144115 151700 155800 175750 189625 194750 230584 288230 303400 351500 379250 389500 576460 703000 720575 758500 779000 1152920 1441150 1517000 2882300 3602875 5764600 7205750 14411500 28823000