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28172640 = 253558693
BaseRepresentation
bin110101101111…
…0000101100000
31222000022121010
41223132011200
524203011030
62443500520
7461314656
oct153360540
958008533
1028172640
11149a2581
129527740
135ab5302
143a54dd6
1527176b0
hex1ade160

28172640 has 48 divisors (see below), whose sum is σ = 88745328. Its totient is φ = 7512576.

The previous prime is 28172633. The next prime is 28172657. The reversal of 28172640 is 4627182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28172598 and 28172607.

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, 28867 + ... + 29826.

It is an arithmetic number, because the mean of its divisors is an integer number (1848861).

Almost surely, 228172640 is an apocalyptic number.

28172640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28172640 is an abundant number, since it is smaller than the sum of its proper divisors (60572688).

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

28172640 is a wasteful number, since it uses less digits than its factorization.

28172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58711 (or 58703 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28172640 is about 5307.7905007639. The cubic root of 28172640 is about 304.2817102404.

The spelling of 28172640 in words is "twenty-eight million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 58693 117386 176079 234772 293465 352158 469544 586930 704316 880395 939088 1173860 1408632 1760790 1878176 2347720 2817264 3521580 4695440 5634528 7043160 9390880 14086320 28172640