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28419920 = 2451720897
BaseRepresentation
bin110110001101…
…0011101010000
31222110212210122
41230122131100
524233414140
62453045412
7463364624
oct154323520
958425718
1028419920
1115051341
129626868
135b70a29
143abb184
152765ab5
hex1b1a750

28419920 has 40 divisors (see below), whose sum is σ = 69966504. Its totient is φ = 10698752.

The previous prime is 28419917. The next prime is 28419943. The reversal of 28419920 is 2991482.

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 21492496 = 2632^2 + 4636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9089 + ... + 11808.

Almost surely, 228419920 is an apocalyptic number.

28419920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28419920 is an abundant number, since it is smaller than the sum of its proper divisors (41546584).

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

28419920 is a wasteful number, since it uses less digits than its factorization.

28419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20927 (or 20921 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 28419920 is about 5331.0336708747. The cubic root of 28419920 is about 305.1693764947.

The spelling of 28419920 in words is "twenty-eight million, four hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 20897 41794 83588 104485 167176 208970 334352 355249 417940 710498 835880 1420996 1671760 1776245 2841992 3552490 5683984 7104980 14209960 28419920