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28973400 = 23352431123
BaseRepresentation
bin110111010000…
…1100101011000
32000112000000220
41232201211120
524404122100
62513000040
7501161361
oct156414530
960460026
1028973400
111539a165
129853020
136005931
143bc2b68
152824aa0
hex1ba1958

28973400 has 96 divisors (see below), whose sum is σ = 91988160. Its totient is φ = 7539840.

The previous prime is 28973393. The next prime is 28973411. The reversal of 28973400 is 437982.

It is a Smith number, since the sum of its digits (33) 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 23 ways as a sum of consecutive naturals, for example, 25239 + ... + 26361.

It is an arithmetic number, because the mean of its divisors is an integer number (958210).

Almost surely, 228973400 is an apocalyptic number.

28973400 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 28973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45994080).

28973400 is an abundant number, since it is smaller than the sum of its proper divisors (63014760).

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

28973400 is a wasteful number, since it uses less digits than its factorization.

28973400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 28973400 is about 5382.6944925381. The cubic root of 28973400 is about 307.1377186294.

The spelling of 28973400 in words is "twenty-eight million, nine hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1123 1290 1720 2150 2246 2580 3225 3369 4300 4492 5160 5615 6450 6738 8600 8984 11230 12900 13476 16845 22460 25800 26952 28075 33690 44920 48289 56150 67380 84225 96578 112300 134760 144867 168450 193156 224600 241445 289734 336900 386312 482890 579468 673800 724335 965780 1158936 1207225 1448670 1931560 2414450 2897340 3621675 4828900 5794680 7243350 9657800 14486700 28973400