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28628550 = 23252113563
BaseRepresentation
bin110110100110…
…1011001000110
31222212110222200
41231031121012
524312103200
62501335330
7465224106
oct155153106
958773880
1028628550
1115184065
129707546
135c14992
143b33206
1527a7800
hex1b4d646

28628550 has 72 divisors (see below), whose sum is σ = 77733864. Its totient is φ = 7553280.

The previous prime is 28628519. The next prime is 28628591. The reversal of 28628550 is 5582682.

28628550 is a `hidden beast` number, since 2 + 86 + 28 + 550 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 50569 + ... + 51131.

It is an arithmetic number, because the mean of its divisors is an integer number (1079637).

Almost surely, 228628550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28628550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38866932).

28628550 is an abundant number, since it is smaller than the sum of its proper divisors (49105314).

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

28628550 is a wasteful number, since it uses less digits than its factorization.

28628550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 28628550 is about 5350.5653906854. The cubic root of 28628550 is about 305.9143038254.

The spelling of 28628550 in words is "twenty-eight million, six hundred twenty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 563 565 678 1017 1126 1130 1689 1695 2034 2815 2825 3378 3390 5067 5085 5630 5650 8445 8475 10134 10170 14075 16890 16950 25335 25425 28150 42225 50670 50850 63619 84450 126675 127238 190857 253350 318095 381714 572571 636190 954285 1145142 1590475 1908570 2862855 3180950 4771425 5725710 9542850 14314275 28628550