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28623960 = 23325233457
BaseRepresentation
bin110110100110…
…0010001011000
31222212020200200
41231030101120
524311431320
62501302200
7465204531
oct155142130
958766620
1028623960
1115180672
129704960
135c12871
143b31688
1527a6290
hex1b4c458

28623960 has 96 divisors (see below), whose sum is σ = 97100640. Its totient is φ = 7299072.

The previous prime is 28623949. The next prime is 28623979. The reversal of 28623960 is 6932682.

28623960 is a `hidden beast` number, since 28 + 623 + 9 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6552 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 228623960 is an apocalyptic number.

28623960 is a gapful number since it is divisible by the number (20) 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 28623960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48550320).

28623960 is an abundant number, since it is smaller than the sum of its proper divisors (68476680).

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

28623960 is a wasteful number, since it uses less digits than its factorization.

28623960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 28623960 is about 5350.1364468582. The cubic root of 28623960 is about 305.8979539264.

The spelling of 28623960 in words is "twenty-eight million, six hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 3457 4140 6914 8280 10371 13828 17285 20742 27656 31113 34570 41484 51855 62226 69140 79511 82968 103710 124452 138280 155565 159022 207420 238533 248904 311130 318044 397555 414840 477066 622260 636088 715599 795110 954132 1192665 1244520 1431198 1590220 1908264 2385330 2862396 3180440 3577995 4770660 5724792 7155990 9541320 14311980 28623960