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28429500 = 22353111723
BaseRepresentation
bin110110001110…
…0110010111100
31222111100221110
41230130302330
524234221000
62453202020
7463434561
oct154346274
958440843
1028429500
1115058560
129630310
135b751b8
143ac0868
152768850
hex1b1ccbc

28429500 has 96 divisors (see below), whose sum is σ = 90365184. Its totient is φ = 6888000.

The previous prime is 28429487. The next prime is 28429543. The reversal of 28429500 is 592482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15639 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (941304).

Almost surely, 228429500 is an apocalyptic number.

28429500 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 28429500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45182592).

28429500 is an abundant number, since it is smaller than the sum of its proper divisors (61935684).

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

28429500 is a wasteful number, since it uses less digits than its factorization.

28429500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 28429500 is about 5331.9321075948. The cubic root of 28429500 is about 305.2036622374.

The spelling of 28429500 in words is "twenty-eight million, four hundred twenty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 1723 2750 3300 3446 4125 5169 5500 6892 8250 8615 10338 16500 17230 18953 20676 25845 34460 37906 43075 51690 56859 75812 86150 94765 103380 113718 129225 172300 189530 215375 227436 258450 284295 379060 430750 473825 516900 568590 646125 861500 947650 1137180 1292250 1421475 1895300 2369125 2584500 2842950 4738250 5685900 7107375 9476500 14214750 28429500