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28779120 = 2432539971
BaseRepresentation
bin110110111001…
…0001001110000
32000011010112100
41231302021300
524331412440
62504500400
7466422066
oct155621160
960133470
1028779120
11152771a7
12977a700
135c68386
143b72036
1527d7230
hex1b72270

28779120 has 60 divisors (see below), whose sum is σ = 96652296. Its totient is φ = 7674240.

The previous prime is 28779109. The next prime is 28779137. The reversal of 28779120 is 2197782.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19266 + ... + 20705.

Almost surely, 228779120 is an apocalyptic number.

28779120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28779120 is an abundant number, since it is smaller than the sum of its proper divisors (67873176).

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

28779120 is a wasteful number, since it uses less digits than its factorization.

28779120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39990 (or 39981 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 28779120 is about 5364.6174141312. The cubic root of 28779120 is about 306.4496784699.

The spelling of 28779120 in words is "twenty-eight million, seven hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 39971 79942 119913 159884 199855 239826 319768 359739 399710 479652 599565 639536 719478 799420 959304 1199130 1438956 1598840 1798695 1918608 2398260 2877912 3197680 3597390 4796520 5755824 7194780 9593040 14389560 28779120