Search a number
-
+
28369438704 = 2434173173569
BaseRepresentation
bin11010011010111100…
…110100011111110000
32201020010002210210000
4122122330310133300
5431100034014304
621011023310000
72023010151555
oct323274643760
981203083700
1028369438704
1111038899212
1255b8a4b300
1328a161ba29
141531a7aa2c
15b108de939
hex69af347f0

28369438704 has 400 divisors, whose sum is σ = 91133095680. Its totient is φ = 8480194560.

The previous prime is 28369438693. The next prime is 28369438709. The reversal of 28369438704 is 40783496382.

28369438704 is a `hidden beast` number, since 2 + 83 + 69 + 438 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28369438709) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49858132 + ... + 49858700.

Almost surely, 228369438704 is an apocalyptic number.

28369438704 is a gapful number since it is divisible by the number (24) 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 28369438704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45566547840).

28369438704 is an abundant number, since it is smaller than the sum of its proper divisors (62763656976).

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

28369438704 is a wasteful number, since it uses less digits than its factorization.

28369438704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 28369438704 in words is "twenty-eight billion, three hundred sixty-nine million, four hundred thirty-eight thousand, seven hundred four".