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28417896 = 23321397313
BaseRepresentation
bin110110001100…
…1111101101000
31222110210000200
41230121331220
524233333041
62453032200
7463356003
oct154317550
958423020
1028417896
111504a871
129625660
135b6cb30
143aba53a
1527651b6
hex1b19f68

28417896 has 96 divisors (see below), whose sum is σ = 84007560. Its totient is φ = 8626176.

The previous prime is 28417891. The next prime is 28417913. The reversal of 28417896 is 69871482.

It can be written as a sum of positive squares in 4 ways, for example, as 9180900 + 19236996 = 3030^2 + 4386^2 .

It is not an unprimeable number, because it can be changed into a prime (28417891) 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, 90636 + ... + 90948.

Almost surely, 228417896 is an apocalyptic number.

28417896 is a gapful number since it is divisible by the number (26) 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 28417896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42003780).

28417896 is an abundant number, since it is smaller than the sum of its proper divisors (55589664).

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

28417896 is a wasteful number, since it uses less digits than its factorization.

28417896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 28417896 is about 5330.8438356418. The cubic root of 28417896 is about 305.1621318405.

The spelling of 28417896 in words is "twenty-eight million, four hundred seventeen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 313 388 468 582 626 776 873 936 939 1164 1252 1261 1746 1878 2328 2504 2522 2817 3492 3756 3783 4069 5044 5634 6984 7512 7566 8138 10088 11268 11349 12207 15132 16276 22536 22698 24414 30264 30361 32552 36621 45396 48828 60722 73242 90792 91083 97656 121444 146484 182166 242888 273249 292968 364332 394693 546498 728664 789386 1092996 1184079 1578772 2185992 2368158 3157544 3552237 4736316 7104474 9472632 14208948 28417896