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28495152 = 24367349
BaseRepresentation
bin110110010110…
…0110100110000
31222121201000000
41230230310300
524243321102
62454430000
7464130150
oct154546460
958551000
1028495152
11150a2914
129662300
135b9904a
143ada760
15277d01c
hex1b2cd30

28495152 has 140 divisors (see below), whose sum is σ = 94872400. Its totient is φ = 8118144.

The previous prime is 28495147. The next prime is 28495153. The reversal of 28495152 is 25159482.

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

It is not an unprimeable number, because it can be changed into a prime (28495153) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81474 + ... + 81822.

It is an arithmetic number, because the mean of its divisors is an integer number (677660).

Almost surely, 228495152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28495152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47436200).

28495152 is an abundant number, since it is smaller than the sum of its proper divisors (66377248).

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

28495152 is an equidigital number, since it uses as much as digits as its factorization.

28495152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 28495152 is about 5338.0850499032. The cubic root of 28495152 is about 305.4384163561.

It can be divided in two parts, 2849 and 5152, that added together give a triangular number (8001 = T126).

The spelling of 28495152 in words is "twenty-eight million, four hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 349 378 432 486 504 567 648 698 729 756 972 1008 1047 1134 1296 1396 1458 1512 1701 1944 2094 2268 2443 2792 2916 3024 3141 3402 3888 4188 4536 4886 5103 5584 5832 6282 6804 7329 8376 9072 9423 9772 10206 11664 12564 13608 14658 16752 18846 19544 20412 21987 25128 27216 28269 29316 37692 39088 40824 43974 50256 56538 58632 65961 75384 81648 84807 87948 113076 117264 131922 150768 169614 175896 197883 226152 254421 263844 339228 351792 395766 452304 508842 527688 593649 678456 791532 1017684 1055376 1187298 1356912 1583064 1780947 2035368 2374596 3166128 3561894 4070736 4749192 7123788 9498384 14247576 28495152