78333528 has 192 divisors, whose sum is σ = 252979200. Its totient is φ = 19768320.

The previous prime is 78333517. The next prime is 78333529. The reversal of 78333528 is 82533387.

It is a super-2 number, since 2×78333528² = 12272283217853568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78333529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880108 + ... + 880196.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 2^78333528 is an apocalyptic number.

78333528 is a gapful number since it is divisible by the number (78) 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 78333528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489600).

78333528 is an abundant number, since it is smaller than the sum of its proper divisors (174645672).

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

78333528 is a wasteful number, since it uses less digits than its factorization.

78333528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 78333528 is about 8850.6230289172. The cubic root of 78333528 is about 427.8739984874.

The spelling of 78333528 in words is "seventy-eight million, three hundred thirty-three thousand, five hundred twenty-eight".