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28400020 = 22511167773
BaseRepresentation
bin110110001010…
…1100110010100
31222102212111121
41230111212110
524232300040
62452413324
7463252615
oct154254624
958385447
1028400020
11150383a0
129617244
135b6495c
143ab3c0c
15275ec4a
hex1b15994

28400020 has 48 divisors (see below), whose sum is σ = 65536128. Its totient is φ = 10252160.

The previous prime is 28400017. The next prime is 28400033. The reversal of 28400020 is 2000482.

It is a super-2 number, since 2×284000202 = 1613122272000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28399967 and 28400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36354 + ... + 37126.

It is an arithmetic number, because the mean of its divisors is an integer number (1365336).

Almost surely, 228400020 is an apocalyptic number.

28400020 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 28400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768064).

28400020 is an abundant number, since it is smaller than the sum of its proper divisors (37136108).

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

28400020 is a wasteful number, since it uses less digits than its factorization.

28400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 28400020 is about 5329.1669142559. The cubic root of 28400020 is about 305.0981319993.

The spelling of 28400020 in words is "twenty-eight million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 773 835 1546 1670 1837 3092 3340 3674 3865 7348 7730 8503 9185 15460 17006 18370 34012 36740 42515 85030 129091 170060 258182 516364 645455 1290910 1420001 2581820 2840002 5680004 7100005 14200010 28400020