Search a number
-
+
28598040 = 233251937113
BaseRepresentation
bin110110100010…
…1111100011000
31222210221010200
41231011330120
524310114130
62500542200
7465036132
oct155057430
958727120
1028598040
1115163149
1296b1960
135c03b23
143b26052
15279d760
hex1b45f18

28598040 has 192 divisors, whose sum is σ = 101368800. Its totient is φ = 6967296.

The previous prime is 28597991. The next prime is 28598071. The reversal of 28598040 is 4089582.

28598040 is a `hidden beast` number, since 28 + 598 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28597986 and 28598004.

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 47 ways as a sum of consecutive naturals, for example, 253024 + ... + 253136.

Almost surely, 228598040 is an apocalyptic number.

28598040 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 28598040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50684400).

28598040 is an abundant number, since it is smaller than the sum of its proper divisors (72770760).

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

28598040 is a wasteful number, since it uses less digits than its factorization.

28598040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28598040 is about 5347.7135300986. The cubic root of 28598040 is about 305.8055922655.

The spelling of 28598040 in words is "twenty-eight million, five hundred ninety-eight thousand, forty".