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28562976 = 2533132543
BaseRepresentation
bin110110011110…
…1011000100000
31222202011001000
41230331120200
524303003401
62500112000
7464531661
oct154753040
958664030
1028562976
1115139872
129695600
135bc0b90
143b17368
152793186
hex1b3d620

28562976 has 96 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 8785152.

The previous prime is 28562969. The next prime is 28562977. The reversal of 28562976 is 67926582.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28562977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9961 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (934920).

Almost surely, 228562976 is an apocalyptic number.

28562976 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 28562976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876160).

28562976 is an abundant number, since it is smaller than the sum of its proper divisors (61189344).

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

28562976 is a wasteful number, since it uses less digits than its factorization.

28562976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 28562976 is about 5344.4341141041. The cubic root of 28562976 is about 305.6805586075.

It can be divided in two parts, 2856 and 2976, that added together give a cube (5832 = 183).

The spelling of 28562976 in words is "twenty-eight million, five hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2543 2808 3744 5086 5616 7629 10172 11232 15258 20344 22887 30516 33059 40688 45774 61032 66118 68661 81376 91548 99177 122064 132236 137322 183096 198354 244128 264472 274644 297531 366192 396708 528944 549288 595062 732384 793416 892593 1057888 1098576 1190124 1586832 1785186 2197152 2380248 3173664 3570372 4760496 7140744 9520992 14281488 28562976