616428288 has 216 divisors, whose sum is σ = 2088134048. Its totient is φ = 171196416.

The previous prime is 616428287. The next prime is 616428289. The reversal of 616428288 is 882824616.

616428288 is a `hidden beast` number, since 616 + 4 + 2 + 8 + 28 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (616428287) and next prime (616428289).

It is a super-2 number, since 2×616428288² = 759967668493221888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616428287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596220 + ... + 597252.

Almost surely, 2^616428288 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 616428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044067024).

616428288 is an abundant number, since it is smaller than the sum of its proper divisors (1471705760).

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

616428288 is a wasteful number, since it uses less digits than its factorization.

616428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 616428288 is about 24827.9739004213. The cubic root of 616428288 is about 851.0613215574.

The spelling of 616428288 in words is "six hundred sixteen million, four hundred twenty-eight thousand, two hundred eighty-eight".