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28923840 = 2632511283
BaseRepresentation
bin110111001010…
…1011111000000
32000102111001100
41232111133000
524401030330
62511534400
7500564031
oct156253700
960374040
1028923840
1115365a00
12982a400
135cb91ca
143baca88
152815060
hex1b957c0

28923840 has 252 divisors, whose sum is σ = 110669832. Its totient is φ = 6927360.

The previous prime is 28923827. The next prime is 28923859. The reversal of 28923840 is 4832982.

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 = 28923795 and 28923804.

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 35 ways as a sum of consecutive naturals, for example, 348439 + ... + 348521.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 228923840 is an apocalyptic number.

28923840 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 28923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55334916).

28923840 is an abundant number, since it is smaller than the sum of its proper divisors (81745992).

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

28923840 is a wasteful number, since it uses less digits than its factorization.

28923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28923840 is about 5378.0888798903. The cubic root of 28923840 is about 306.9624954627.

The spelling of 28923840 in words is "twenty-eight million, nine hundred twenty-three thousand, eight hundred forty".