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28788120 = 2332579967
BaseRepresentation
bin110110111010…
…0010110011000
32000011120212200
41231310112120
524332204440
62505010200
7466460244
oct155642630
960146780
1028788120
1115282a39
129783960
135c6c4ba
143b75424
1527d9c30
hex1b74598

28788120 has 48 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 7676736.

The previous prime is 28788103. The next prime is 28788139. The reversal of 28788120 is 2188782.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39624 + ... + 40343.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 228788120 is an apocalyptic number.

28788120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28788120 is an abundant number, since it is smaller than the sum of its proper divisors (64774440).

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

28788120 is a wasteful number, since it uses less digits than its factorization.

28788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79984 (or 79977 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 28788120 is about 5365.4561781828. The cubic root of 28788120 is about 306.4816201421.

The spelling of 28788120 in words is "twenty-eight million, seven hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 79967 159934 239901 319868 399835 479802 639736 719703 799670 959604 1199505 1439406 1599340 1919208 2399010 2878812 3198680 3598515 4798020 5757624 7197030 9596040 14394060 28788120