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28055538 = 2337223461
BaseRepresentation
bin110101100000…
…1011111110010
31221210100222000
41223001133302
524140234123
62441154430
7460316400
oct153013762
957710860
1028055538
11149225a5
12948ba16
135a73c14
143a24470
1526e2b43
hex1ac17f2

28055538 has 96 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 7650720.

The previous prime is 28055483. The next prime is 28055539. The reversal of 28055538 is 83555082.

28055538 = T92 + T93 + ... + T552.

It is a super-2 number, since 2×280555382 = 1574226424938888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28055539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60628 + ... + 61088.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 228055538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28055538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).

28055538 is an abundant number, since it is smaller than the sum of its proper divisors (47786382).

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

28055538 is a wasteful number, since it uses less digits than its factorization.

28055538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 28055538 is about 5296.7478701558. The cubic root of 28055538 is about 303.8595337326.

The spelling of 28055538 in words is "twenty-eight million, fifty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 322 378 414 441 461 483 621 882 922 966 1127 1242 1323 1383 1449 2254 2646 2766 2898 3227 3381 4149 4347 6454 6762 8298 8694 9681 10143 10603 12447 19362 20286 21206 22589 24894 29043 30429 31809 45178 58086 60858 63618 67767 74221 87129 95427 135534 148442 174258 190854 203301 222663 286281 406602 445326 519547 572562 609903 667989 1039094 1219806 1335978 1558641 2003967 3117282 4007934 4675923 9351846 14027769 28055538