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28874016 = 2533231453
BaseRepresentation
bin110111000100…
…1010100100000
32000022221201000
41232021110200
524342432031
62510512000
7500265543
oct156112440
960287630
1028874016
1115331526
129805600
135c9c622
143b9885a
1528053e6
hex1b89520

28874016 has 96 divisors (see below), whose sum is σ = 87937920. Its totient is φ = 9199872.

The previous prime is 28874009. The next prime is 28874017. The reversal of 28874016 is 61047882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28874017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19146 + ... + 20598.

It is an arithmetic number, because the mean of its divisors is an integer number (916020).

Almost surely, 228874016 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 28874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968960).

28874016 is an abundant number, since it is smaller than the sum of its proper divisors (59063904).

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

28874016 is a wasteful number, since it uses less digits than its factorization.

28874016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28874016 is about 5373.4547546248. The cubic root of 28874016 is about 306.7861370259.

It can be divided in two parts, 2887 and 4016, that added together give a triangular number (6903 = T117).

The spelling of 28874016 in words is "twenty-eight million, eight hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1453 1656 2208 2484 2906 3312 4359 4968 5812 6624 8718 9936 11624 13077 17436 19872 23248 26154 33419 34872 39231 46496 52308 66838 69744 78462 100257 104616 133676 139488 156924 200514 209232 267352 300771 313848 401028 418464 534704 601542 627696 802056 902313 1069408 1203084 1255392 1604112 1804626 2406168 3208224 3609252 4812336 7218504 9624672 14437008 28874016