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28514880 = 263259901
BaseRepresentation
bin110110011000…
…1101001000000
31222122201001200
41230301221000
524244434010
62455101200
7464241522
oct154615100
958581050
1028514880
1115106719
129671800
135ba5014
143b03a12
152783cc0
hex1b31a40

28514880 has 84 divisors (see below), whose sum is σ = 98089212. Its totient is φ = 7603200.

The previous prime is 28514873. The next prime is 28514881. The reversal of 28514880 is 8841582.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 8156736 = 4512^2 + 2856^2 .

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 (28514881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071 + ... + 7830.

Almost surely, 228514880 is an apocalyptic number.

28514880 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 28514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49044606).

28514880 is an abundant number, since it is smaller than the sum of its proper divisors (69574332).

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

28514880 is a wasteful number, since it uses less digits than its factorization.

28514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 28514880 is about 5339.9325838441. The cubic root of 28514880 is about 305.5088879815.

The spelling of 28514880 in words is "twenty-eight million, five hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 9901 19802 29703 39604 49505 59406 79208 89109 99010 118812 148515 158416 178218 198020 237624 297030 316832 356436 396040 445545 475248 594060 633664 712872 792080 891090 950496 1188120 1425744 1584160 1782180 1900992 2376240 2851488 3168320 3564360 4752480 5702976 7128720 9504960 14257440 28514880