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28622640 = 2435239499
BaseRepresentation
bin110110100101…
…1111100110000
31222212011212210
41231023330300
524311411030
62501252120
7465200634
oct155137460
958764783
1028622640
111517a682
129704040
135c12097
143b30dc4
1527a5bb0
hex1b4bf30

28622640 has 80 divisors (see below), whose sum is σ = 89280000. Its totient is φ = 7585536.

The previous prime is 28622639. The next prime is 28622651. The reversal of 28622640 is 4622682.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 28622598 and 28622607.

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, 57111 + ... + 57609.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 228622640 is an apocalyptic number.

28622640 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 28622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

28622640 is an abundant number, since it is smaller than the sum of its proper divisors (60657360).

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

28622640 is a wasteful number, since it uses less digits than its factorization.

28622640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28622640 is about 5350.0130840962. The cubic root of 28622640 is about 305.8932516711.

The spelling of 28622640 in words is "twenty-eight million, six hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 499 717 956 998 1195 1434 1497 1912 1996 2390 2495 2868 2994 3585 3824 3992 4780 4990 5736 5988 7170 7485 7984 9560 9980 11472 11976 14340 14970 19120 19960 23952 28680 29940 39920 57360 59880 119261 119760 238522 357783 477044 596305 715566 954088 1192610 1431132 1788915 1908176 2385220 2862264 3577830 4770440 5724528 7155660 9540880 14311320 28622640