Search a number
-
+
28029664 = 251327173
BaseRepresentation
bin110101011101…
…1001011100000
31221202001110201
41222323023200
524133422124
62440434544
7460151065
oct152731340
957661421
1028029664
1114905113
129478a54
135a65200
143a18c6c
1526da144
hex1abb2e0

28029664 has 72 divisors (see below), whose sum is σ = 61426512. Its totient is φ = 12579840.

The previous prime is 28029653. The next prime is 28029671. The reversal of 28029664 is 46692082.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383932 + ... + 384004.

It is an arithmetic number, because the mean of its divisors is an integer number (853146).

Almost surely, 228029664 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 28029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30713256).

28029664 is an abundant number, since it is smaller than the sum of its proper divisors (33396848).

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

28029664 is a wasteful number, since it uses less digits than its factorization.

28029664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 28029664 is about 5294.3048646635. The cubic root of 28029664 is about 303.7660943111.

The spelling of 28029664 in words is "twenty-eight million, twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 71 73 104 142 146 169 208 284 292 338 416 568 584 676 923 949 1136 1168 1352 1846 1898 2272 2336 2704 3692 3796 5183 5408 7384 7592 10366 11999 12337 14768 15184 20732 23998 24674 29536 30368 41464 47996 49348 67379 82928 95992 98696 134758 165856 191984 197392 269516 383968 394784 539032 875927 1078064 1751854 2156128 3503708 7007416 14014832 28029664