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28964292 = 2237331227
BaseRepresentation
bin110111001111…
…1010111000100
32000111112112120
41232133113010
524403324132
62512445540
7501123000
oct156372704
960445476
1028964292
1115393335
1298498b0
136001746
143bbd700
15282202c
hex1b9f5c4

28964292 has 96 divisors (see below), whose sum is σ = 81715200. Its totient is φ = 7973280.

The previous prime is 28964281. The next prime is 28964293. The reversal of 28964292 is 29246982.

It is a super-2 number, since 2×289642922 = 1677860422122528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28964293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127483 + ... + 127709.

It is an arithmetic number, because the mean of its divisors is an integer number (851200).

Almost surely, 228964292 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 28964292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40857600).

28964292 is an abundant number, since it is smaller than the sum of its proper divisors (52750908).

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

28964292 is a wasteful number, since it uses less digits than its factorization.

28964292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 28964292 is about 5381.8483813649. The cubic root of 28964292 is about 307.1055315944.

The spelling of 28964292 in words is "twenty-eight million, nine hundred sixty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 227 294 343 372 434 454 588 651 681 686 868 908 1029 1302 1362 1372 1519 1589 2058 2604 2724 3038 3178 4116 4557 4767 6076 6356 7037 9114 9534 10633 11123 14074 18228 19068 21111 21266 22246 28148 31899 33369 42222 42532 44492 49259 63798 66738 77861 84444 98518 127596 133476 147777 155722 197036 233583 295554 311444 344813 467166 591108 689626 934332 1034439 1379252 2068878 2413691 4137756 4827382 7241073 9654764 14482146 28964292