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28756028742 = 2372923722003
BaseRepresentation
bin11010110001111111…
…100010110101000110
32202020001112121121120
4122301333202311012
5432343020404432
621113233254410
72035413132330
oct326177426506
982201477546
1028756028742
1111217035011
1256a6404406
13293374662c
14156b150450
15b34804c2c
hex6b1fe2d46

28756028742 has 96 divisors (see below), whose sum is σ = 69915685632. Its totient is φ = 7717949568.

The previous prime is 28756028729. The next prime is 28756028759. The reversal of 28756028742 is 24782065782.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295913 + ... + 1317915.

It is an arithmetic number, because the mean of its divisors is an integer number (728288392).

Almost surely, 228756028742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28756028742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957842816).

28756028742 is an abundant number, since it is smaller than the sum of its proper divisors (41159656890).

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

28756028742 is a wasteful number, since it uses less digits than its factorization.

28756028742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 28756028742 in words is "twenty-eight billion, seven hundred fifty-six million, twenty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 841 1073 1218 1554 1682 2146 2523 3219 5046 5887 6438 7511 11774 15022 17661 22003 22533 31117 35322 44006 45066 62234 66009 93351 132018 154021 186702 217819 308042 435638 462063 638087 653457 814111 924126 1276174 1306914 1628222 1914261 2442333 3828522 4466609 4884666 5698777 8933218 11397554 13399827 17096331 18504523 23609219 26799654 34192662 37009046 47218438 55513569 70827657 111027138 129531661 141655314 165264533 259063322 330529066 388594983 495793599 684667351 777189966 991587198 1369334702 2054002053 4108004106 4792671457 9585342914 14378014371 28756028742