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28789920 = 2532519993
BaseRepresentation
bin110110111010…
…0110010100000
32000011200100100
41231310302200
524332234140
62505022400
7466465425
oct155646240
960150310
1028789920
1115284325
129784a00
135c70273
143b75d4c
1527da530
hex1b74ca0

28789920 has 72 divisors (see below), whose sum is σ = 98250516. Its totient is φ = 7676928.

The previous prime is 28789903. The next prime is 28789931. The reversal of 28789920 is 2998782.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 17424 = 5364^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8557 + ... + 11436.

Almost surely, 228789920 is an apocalyptic number.

28789920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28789920 is an abundant number, since it is smaller than the sum of its proper divisors (69460596).

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

28789920 is a wasteful number, since it uses less digits than its factorization.

28789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20014 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 28789920 is about 5365.6239152591. The cubic root of 28789920 is about 306.4880076776.

The spelling of 28789920 in words is "twenty-eight million, seven hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 19993 39986 59979 79972 99965 119958 159944 179937 199930 239916 299895 319888 359874 399860 479832 599790 639776 719748 799720 899685 959664 1199580 1439496 1599440 1799370 1919328 2399160 2878992 3198880 3598740 4798320 5757984 7197480 9596640 14394960 28789920