28619136 has 288 divisors, whose sum is σ = 106396200. Its totient is φ = 7547904.

The previous prime is 28619113. The next prime is 28619137. The reversal of 28619136 is 63191682.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28619136 is a `hidden beast` number, since 2 + 8 + 619 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28619136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28619137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2201466 + ... + 2201478.

Almost surely, 2^28619136 is an apocalyptic number.

28619136 is a gapful number since it is divisible by the number (26) 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 28619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53198100).

28619136 is an abundant number, since it is smaller than the sum of its proper divisors (77777064).

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

28619136 is a wasteful number, since it uses less digits than its factorization.

28619136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 28619136 is about 5349.6855982385. The cubic root of 28619136 is about 305.8807686192.

The spelling of 28619136 in words is "twenty-eight million, six hundred nineteen thousand, one hundred thirty-six".