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28960048 = 2413375371
BaseRepresentation
bin110111001111…
…0010100110000
32000111022201101
41232132110300
524403210143
62512414144
7501104425
oct156362460
960438641
1028960048
1115390127
129847354
135ccc830
143bbbd4c
152820b4d
hex1b9e530

28960048 has 80 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 12579840.

The previous prime is 28960031. The next prime is 28960081. The reversal of 28960048 is 84006982.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 28959989 and 28960016.

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 15 ways as a sum of consecutive naturals, for example, 407853 + ... + 407923.

Almost surely, 228960048 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 28960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

28960048 is an abundant number, since it is smaller than the sum of its proper divisors (35160848).

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

28960048 is a wasteful number, since it uses less digits than its factorization.

28960048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 28960048 is about 5381.4540785925. The cubic root of 28960048 is about 307.0905312906.

The spelling of 28960048 in words is "twenty-eight million, nine hundred sixty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 53 71 74 104 106 142 148 208 212 284 296 424 481 568 592 689 848 923 962 1136 1378 1846 1924 1961 2627 2756 3692 3763 3848 3922 5254 5512 7384 7526 7696 7844 10508 11024 14768 15052 15688 21016 25493 30104 31376 34151 42032 48919 50986 60208 68302 97838 101972 136604 139231 195676 203944 273208 278462 391352 407888 546416 556924 782704 1113848 1810003 2227696 3620006 7240012 14480024 28960048