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28530640 = 245715023
BaseRepresentation
bin110110011010…
…1011111010000
31222200111200101
41230311133100
524300440030
62455302144
7464335465
oct154653720
958614611
1028530640
1115117546
12967a954
135bac248
143b0966c
1527887ca
hex1b357d0

28530640 has 40 divisors (see below), whose sum is σ = 67281408. Its totient is φ = 11249280.

The previous prime is 28530637. The next prime is 28530659. The reversal of 28530640 is 4603582.

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

It is a junction number, because it is equal to n+sod(n) for n = 28530599 and 28530608.

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, 3169 + ... + 8191.

Almost surely, 228530640 is an apocalyptic number.

28530640 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 28530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33640704).

28530640 is an abundant number, since it is smaller than the sum of its proper divisors (38750768).

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

28530640 is a wasteful number, since it uses less digits than its factorization.

28530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 28530640 is about 5341.4080540621. The cubic root of 28530640 is about 305.5651619141.

The spelling of 28530640 in words is "twenty-eight million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5023 5680 10046 20092 25115 40184 50230 80368 100460 200920 356633 401840 713266 1426532 1783165 2853064 3566330 5706128 7132660 14265320 28530640