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385777728 = 2634710631
BaseRepresentation
bin10110111111101…
…000000001000000
3222212220112120000
4112333220001000
51242224341403
6102140320000
712363025260
oct2677500100
9885815500
10385777728
11188841576
12a9243000
1361c01c5b
14393417a0
1523d047a3
hex16fe8040

385777728 has 140 divisors (see below), whose sum is σ = 1307055552. Its totient is φ = 110211840.

The previous prime is 385777727. The next prime is 385777741. The reversal of 385777728 is 827777583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385777723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30973 + ... + 41603.

Almost surely, 2385777728 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 385777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653527776).

385777728 is an abundant number, since it is smaller than the sum of its proper divisors (921277824).

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

385777728 is a wasteful number, since it uses less digits than its factorization.

385777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10643 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 385777728 is about 19641.2252163657. The cubic root of 385777728 is about 727.9681586524.

The spelling of 385777728 in words is "three hundred eighty-five million, seven hundred seventy-seven thousand, seven hundred twenty-eight".