88378752 has 256 divisors, whose sum is σ = 303552000. Its totient is φ = 22579200.

The previous prime is 88378751. The next prime is 88378817. The reversal of 88378752 is 25787388.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (752640) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88378751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448802 + ... + 1448862.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^88378752 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 88378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

88378752 is an abundant number, since it is smaller than the sum of its proper divisors (215173248).

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

88378752 is a wasteful number, since it uses less digits than its factorization.

88378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 88378752 is about 9400.9973938939. The cubic root of 88378752 is about 445.4332388077.

The spelling of 88378752 in words is "eighty-eight million, three hundred seventy-eight thousand, seven hundred fifty-two".