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28623132 = 2234232167
BaseRepresentation
bin110110100110…
…0000100011100
31222212012120000
41231030010130
524311420012
62501254300
7465202236
oct155140434
958765500
1028623132
111517aa8a
129704390
135c12385
143b31256
1527a5ddc
hex1b4c11c

28623132 has 90 divisors (see below), whose sum is σ = 78689688. Its totient is φ = 9071568.

The previous prime is 28623071. The next prime is 28623143. The reversal of 28623132 is 23132682.

28623132 is a `hidden beast` number, since 2 + 8 + 623 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28623096 and 28623105.

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 29 ways as a sum of consecutive naturals, for example, 171313 + ... + 171479.

Almost surely, 228623132 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 28623132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39344844).

28623132 is an abundant number, since it is smaller than the sum of its proper divisors (50066556).

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

28623132 is a wasteful number, since it uses less digits than its factorization.

28623132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 195 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 28623132 is about 5350.0590650945. The cubic root of 28623132 is about 305.8950043468.

The spelling of 28623132 in words is "twenty-eight million, six hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 167 207 276 324 334 414 501 529 621 668 828 1002 1058 1242 1503 1587 1863 2004 2116 2484 3006 3174 3726 3841 4509 4761 6012 6348 7452 7682 9018 9522 11523 13527 14283 15364 18036 19044 23046 27054 28566 34569 42849 46092 54108 57132 69138 85698 88343 103707 138276 171396 176686 207414 265029 311121 353372 414828 530058 622242 795087 1060116 1244484 1590174 2385261 3180348 4770522 7155783 9541044 14311566 28623132