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28506972 = 22313414457
BaseRepresentation
bin110110010111…
…1101101011100
31222122022012210
41230233231130
524244210342
62455000420
7464206464
oct154575534
958568183
1028506972
111510078a
129669110
135ba1540
143b00ba4
15278179c
hex1b2fb5c

28506972 has 48 divisors (see below), whose sum is σ = 73396512. Its totient is φ = 8555520.

The previous prime is 28506937. The next prime is 28506991. The reversal of 28506972 is 27960582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 28506972.

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, 4168 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (1529094).

Almost surely, 228506972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28506972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36698256).

28506972 is an abundant number, since it is smaller than the sum of its proper divisors (44889540).

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

28506972 is a wasteful number, since it uses less digits than its factorization.

28506972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 28506972 is about 5339.1920737130. The cubic root of 28506972 is about 305.4806432234.

The spelling of 28506972 in words is "twenty-eight million, five hundred six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 4457 6396 8914 13371 17828 26742 53484 57941 115882 173823 182737 231764 347646 365474 548211 695292 730948 1096422 2192844 2375581 4751162 7126743 9502324 14253486 28506972