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28779948 = 2235291021
BaseRepresentation
bin110110111001…
…0010110101100
32000011011200000
41231302112230
524331424243
62504504300
7466424361
oct155622654
960134600
1028779948
111527788a
12977b090
135c68872
143b72468
1527d75d3
hex1b725ac

28779948 has 72 divisors (see below), whose sum is σ = 78121680. Its totient is φ = 9253440.

The previous prime is 28779941. The next prime is 28779973. The reversal of 28779948 is 84997782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28779894 and 28779903.

It is not an unprimeable number, because it can be changed into a prime (28779941) 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, 27678 + ... + 28698.

Almost surely, 228779948 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 28779948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060840).

28779948 is an abundant number, since it is smaller than the sum of its proper divisors (49341732).

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

28779948 is a wasteful number, since it uses less digits than its factorization.

28779948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1055 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 28779948 is about 5364.6945859014. The cubic root of 28779948 is about 306.4526173819.

The spelling of 28779948 in words is "twenty-eight million, seven hundred seventy-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1021 1044 1566 2042 2349 3063 3132 4084 4698 6126 7047 9189 9396 12252 14094 18378 27567 28188 29609 36756 55134 59218 82701 88827 110268 118436 165402 177654 248103 266481 330804 355308 496206 532962 799443 992412 1065924 1598886 2398329 3197772 4796658 7194987 9593316 14389974 28779948