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28880720 = 2451137887
BaseRepresentation
bin110111000101…
…0111101010000
32000100021220022
41232022331100
524343140340
62511003012
7500324231
oct156127520
960307808
1028880720
1115336570
129809468
135ca26ab
143b9b088
1528073b5
hex1b8af50

28880720 has 80 divisors (see below), whose sum is σ = 75316608. Its totient is φ = 10206720.

The previous prime is 28880699. The next prime is 28880729. The reversal of 28880720 is 2708882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28880729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32117 + ... + 33003.

Almost surely, 228880720 is an apocalyptic number.

28880720 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 28880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37658304).

28880720 is an abundant number, since it is smaller than the sum of its proper divisors (46435888).

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

28880720 is a wasteful number, since it uses less digits than its factorization.

28880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 28880720 is about 5374.0785256637. The cubic root of 28880720 is about 306.8098785000.

It can be divided in two parts, 28880 and 720, that multiplied together give a square (20793600 = 45602).

The spelling of 28880720 in words is "twenty-eight million, eight hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 887 1480 1628 1774 2035 2960 3256 3548 4070 4435 6512 7096 8140 8870 9757 14192 16280 17740 19514 32560 32819 35480 39028 48785 65638 70960 78056 97570 131276 156112 164095 195140 262552 328190 361009 390280 525104 656380 722018 780560 1312760 1444036 1805045 2625520 2888072 3610090 5776144 7220180 14440360 28880720