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28694952 = 23331113929
BaseRepresentation
bin110110101110…
…1100110101000
31222222212002000
41231131212220
524321214302
62503011000
7465621516
oct155354650
958885060
1028694952
1115219a40
129739a60
135c38c80
143b4d4b6
1527bc31c
hex1b5d9a8

28694952 has 128 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 8017920.

The previous prime is 28694947. The next prime is 28694977. The reversal of 28694952 is 25949682.

It is a junction number, because it is equal to n+sod(n) for n = 28694898 and 28694907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30424 + ... + 31352.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 228694952 is an apocalyptic number.

28694952 is a gapful number since it is divisible by the number (22) 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 28694952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

28694952 is an abundant number, since it is smaller than the sum of its proper divisors (65049048).

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

28694952 is a wasteful number, since it uses less digits than its factorization.

28694952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 28694952 is about 5356.7669353818. The cubic root of 28694952 is about 306.1506370974.

It can be divided in two parts, 28694 and 952, that added together give a triangular number (29646 = T243).

The spelling of 28694952 in words is "twenty-eight million, six hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 929 936 1144 1188 1287 1404 1716 1858 2376 2574 2787 2808 3432 3716 3861 5148 5574 7432 7722 8361 10219 10296 11148 12077 15444 16722 20438 22296 24154 25083 30657 30888 33444 36231 40876 48308 50166 61314 66888 72462 81752 91971 96616 100332 108693 122628 132847 144924 183942 200664 217386 245256 265694 275913 289848 326079 367884 398541 434772 531388 551826 652158 735768 797082 869544 1062776 1103652 1195623 1304316 1594164 2207304 2391246 2608632 3188328 3586869 4782492 7173738 9564984 14347476 28694952