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28695700 = 225211191373
BaseRepresentation
bin110110101110…
…1110010010100
31222222220002201
41231131302110
524321230300
62503014244
7465623635
oct155356224
958886081
1028695700
111521a560
12973a384
135c39407
143b4d88c
1527bc66a
hex1b5dc94

28695700 has 72 divisors (see below), whose sum is σ = 71557920. Its totient is φ = 9878400.

The previous prime is 28695679. The next prime is 28695701. The reversal of 28695700 is 759682.

28695700 = T837 + T838 + ... + T911.

It is a self number, because there is not a number n which added to its sum of digits gives 28695700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28695701) 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, 20214 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (993860).

Almost surely, 228695700 is an apocalyptic number.

28695700 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 28695700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778960).

28695700 is an abundant number, since it is smaller than the sum of its proper divisors (42862220).

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

28695700 is a wasteful number, since it uses less digits than its factorization.

28695700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 28695700 is about 5356.8367531595. The cubic root of 28695700 is about 306.1532972480.

The spelling of 28695700 in words is "twenty-eight million, six hundred ninety-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1373 1900 2090 2746 4180 5225 5492 6865 10450 13730 15103 20900 26087 27460 30206 34325 52174 60412 68650 75515 104348 130435 137300 151030 260870 286957 302060 377575 521740 573914 652175 755150 1147828 1304350 1434785 1510300 2608700 2869570 5739140 7173925 14347850 28695700